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Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Professur Theoretische Physik I - Univ.-Prof. Dr. Franz G. Mertens

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Number of items at this level: 244.

2019

Quintero, Niurka R. ; Shao, Sihong ; Alvarez-Nodarse, Renato ; Mertens, F. G.:
Externally driven nonlinear Dirac equation revisited : theory and simulations.
In: Journal of Physics A: Mathematical and Theoretical. Vol. 52 (2019) Issue 15 . - p. 155401.
DOI: https://doi.org/10.1088/1751-8121/ab0dd9

Quintero, Niurka R. ; Sánchez-Rey, Bernardo ; Cooper, Fred ; Mertens, F. G.:
Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force.
In: Journal of Physics A: Mathematical and Theoretical. Vol. 52 (2019) Issue 28 . - p. 285201.
DOI: https://doi.org/10.1088/1751-8121/ab2469

Cuevas-Maraver, Jesús ; Kevrekidis, P. G. ; Mertens, F. G. ; Saxena, Avadh:
Speed-of-light pulses in a massless nonlinear Dirac equation.
In: Physical Review E. Vol. 100 (2019) Issue 2 . - 022210.
DOI: https://doi.org/10.1103/PhysRevE.100.022210

2018

Gaididei, Yuri ; Kravchuk, Volodymyr P. ; Mertens, F. G. ; Pylypovskyi, Oleksandr V. ; Saxena, Avadh ; Sheka, Denis D. ; Volkov, Oleksii M.:
Localization of magnon modes in a curved magnetic nanowire.
In: Low Temperature Physics. Vol. 44 (2018) Issue 7 . - pp. 634-643.
DOI: https://doi.org/10.1063/1.5041428

2017

Kanna, T. ; Mareeswaran, R. Babu ; Mertens, F. G.:
Non-autonomous bright solitons and their stability in Rabi coupled binary Bose–Einstein condensates.
In: Journal of Physics Communications. Vol. 1 (2017) Issue 4 . - 045005.
DOI: https://doi.org/10.1088/2399-6528/aa8e24

Mertens, F. G. ; Cooper, Fred ; Shao, Sihong ; Quintero, Niurka R. ; Saxena, Avadh ; Bishop, A. R.:
Nonlinear Dirac equation solitary waves under a spinor force with different components.
In: Journal of Physics A: Mathematical and Theoretical. Vol. 50 (2017) Issue 14 . - p. 145201.
DOI: https://doi.org/10.1088/1751-8121/aa5fb4

Cooper, Fred ; Dawson, John F. ; Mertens, F. G. ; Arévalo, Edward ; Quintero, Niurka R. ; Mihaila, Bogdan ; Khare, Avinash ; Saxena, Avadh:
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry.
In: Journal of Physics A: Mathematical and Theoretical. Vol. 50 (2017) Issue 48 . - p. 485205.
DOI: https://doi.org/10.1088/1751-8121/aa8d25

Quintero, Niurka R. ; Mertens, F. G. ; Cooper, Fred ; Saxena, Avadh ; Bishop, A. R.:
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential.
In: Physical Review E. Vol. 96 (2017) Issue 5 . - 052219.
DOI: https://doi.org/10.1103/PhysRevE.96.052219

2016

Mertens, F. G. ; Cooper, Fred ; Quintero, Niurka R. ; Shao, Sihong ; Khare, Avinash ; Saxena, Avadh:
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces.
In: Journal of Physics A: Mathematical and Theoretical. Vol. 49 (2016) Issue 6 . - 065402.
DOI: https://doi.org/10.1088/1751-8113/49/6/065402

Mertens, F. G. ; Cooper, Fred ; Arévalo, Edward ; Khare, Avinash ; Saxena, Avadh ; Bishop, A. R.:
Variational approach to studying solitary waves in the nonlinear Schrödinger equation with complex potentials.
In: Physical Review E. Vol. 94 (2016) Issue 3 . - 032213.
DOI: https://doi.org/10.1103/PhysRevE.94.032213

2015

Alvarez-Nodarse, R. ; Quintero, N. R. ; Mertens, F. G. ; Casic, N. ; Fischer, Thomas M.:
Paramagnetic colloidal ribbons in a precessing magnetic field.
In: Physical Review E. Vol. 91 (March 2015) Issue 3 . - 032908.
DOI: https://doi.org/10.1103/PhysRevE.91.032908

Volkov, Oleksii M. ; Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Gaididei, Yuri ; Mertens, F. G.:
Effects of a spin-polarized current assisted Ørsted field in magnetization patterning.
In: Journal of Applied Physics. Vol. 117 (2015) Issue 21 . - p. 213910.
DOI: https://doi.org/10.1063/1.4921977

Volltext
Volkov, Oleksii M. ; Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Gaididei, Yuri ; Mertens, F. G.:
Magnetization patterning induced by electrical spin-polarized current in nanostripes.
In: arXiv. (2015) .

Quintero, Niurka R. ; Mertens, F. G. ; Bishop, A. R.:
Soliton stability criterion for generalized nonlinear Schrödinger equations.
In: Physical Review E. Vol. 91 (2015) Issue 1 . - 012905.
DOI: https://doi.org/10.1103/PhysRevE.91.012905

Volltext
Volkov, O. M. ; Kravchuk, V. P. ; Sheka, D. D. ; Gaididei, Y. ; Mertens, F. G.:
Spin-current induced magnetization patterns in nanomagnets.
In: 20th International Conference on Magnetism : Book of Abstracts. - Barcelona , 2015

2014

Alvarez-Nodarse, R. ; Quintero, N. R. ; Mertens, F. G.:
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models.
In: Physical Review E. Vol. 90 (2014) Issue 4 . - 042916.
DOI: https://doi.org/10.1103/PhysRevE.90.042916

Volkov, O. M. ; Kravchuk, V. P. ; Sheka, D. D. ; Gaididei, Y. ; Mertens, F. G.:
Magnetisation patterning by means of electrical spin-polarized current.
In: Proceedings of the VI Young Scientists Conference "Problems of Theoretical Physics". - Kiew , 2014 . - p. 37

Shao, Sihong ; Quintero, Niurka R. ; Mertens, F. G. ; Cooper, Fred ; Khare, Avinash ; Saxena, Avadh:
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity.
In: Physical Review E. Vol. 90 (2014) Issue 3 . - 032915.
DOI: https://doi.org/10.1103/PhysRevE.90.032915

2013

Casic, Nebojsa ; Quintero, Niurka ; Alvarez-Nodarse, Renato ; Mertens, F. G. ; Jibuti, Levan ; Zimmermann, Walter ; Fischer, Thomas M.:
Propulsion Efficiency of a Dynamic Self-Assembled Helical Ribbon.
In: Physical Review Letters. Vol. 110 (April 2013) Issue 16 . - p. 168302.
DOI: https://doi.org/10.1103/PhysRevLett.110.168302

Pylypovskyi, O. V. ; Sheka, D. D. ; Kravchuk, V. P. ; Gaididei, Yu. B. ; Mertens, F. G.:
Mechanism of Fast Axially Symmetric Reversal of Magnetic Vortex Core.
In: Ukrainian Journal of Physics. Vol. 58 (2013) Issue 6 . - pp. 596-603.
DOI: https://doi.org/10.15407/ujpe58.06.0596

Mertens, F. G. ; Quintero, Niurka R. ; Bishop, A. R.:
Nonlinear Schrödinger solitons oscillate under a constant external force.
In: Physical Review E. Vol. 87 (2013) Issue 3 . - 032917.
DOI: https://doi.org/10.1103/PhysRevE.87.032917

Volkov, Oleksii M. ; Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Mertens, F. G. ; Gaididei, Yuri:
Periodic magnetic structures generated by spin–polarized currents in nanostripes.
In: Applied Physics Letters. Vol. 103 (2013) Issue 22 . - p. 222401.
DOI: https://doi.org/10.1063/1.4831748

Pylypovskyi, Oleksandr V. ; Sheka, Denis D. ; Kravchuk, Volodymyr P. ; Mertens, F. G. ; Gaididei, Yuri:
Regular and chaotic vortex core reversal by a resonant perpendicular magnetic field.
In: Physical Review B. Vol. 88 (2013) Issue 1 . - 014432.
DOI: https://doi.org/10.1103/PhysRevB.88.014432

Volkov, O. M. ; Kravchuk, V. P. ; Sheka, D. D. ; Mertens, F. G. ; Gaididei, Y.:
Spin-current induced periodical structures in ferromagnetic nanostripes.
In: Proceedings of the International Conference "Problems of Theoretical Physics". (2013) .

2012

Volltext
Pylypovskyi, O. V. ; Sheka, D. D. ; Kravchuk, V. P. ; Gaididei, Y. ; Mertens, F. G.:
Axial-symmetric vortex polarity switching in ferromagnetic particles.
In: Proceedings of the VIII International Conference "Electronics and Applied physics". - Kiew , 2012 . - pp. 61-62

Volltext
Pylypovskyi, O. V. ; Sheka, D. D. ; Kravchuk, V. P. ; Gaididei, Y. ; Mertens, F. G.:
Deterministic and chaotic vortex dynamics in magnetic nanodots.
In: Proceedings of the International Conference "Problems of Theoretical Physics". (2012) . - p. 102.

Cooper, Fred ; Khare, Avinash ; Quintero, Niurka R. ; Mertens, F. G. ; Saxena, Avadh:
Forced nonlinear Schrödinger equation with arbitrary nonlinearity.
In: Physical Review E. Vol. 85 (2012) Issue 4 . - 046607.
DOI: https://doi.org/10.1103/physreve.85.046607

Mertens, F. G. ; Quintero, Niurka R. ; Cooper, Fred ; Khare, Avinash ; Saxena, Avadh:
Nonlinear Dirac equation solitary waves in external fields.
In: Physical Review E. Vol. 86 (2012) Issue 4 . - 046602.
DOI: https://doi.org/10.1103/PhysRevE.86.046602

2011

Mertens, F. G. ; Sheka, D. ; Kravchuk, V. ; Gaididei, Y.:
Switching of the polarity of vortices in magnetic nanodots by a spin-polarized electric current.
2011
Event: PIERS 2011: Progress In Electromagnetics Research Symposium , 20.-23. März 2011 , Marrakesch, Marokko.
(Conference item: Conference , Speech )

Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Mertens, F. G. ; Gaididei, Yuri:
Off-centred immobile magnetic vortex under influence of spin-transfer torque.
In: Journal of Physics D. Vol. 44 (2011) Issue 28 . - p. 285001.
DOI: https://doi.org/10.1088/0022-3727/44/28/285001

Mertens, F. G. ; Quintero, Niurka R. ; Barashenkov, I. V. ; Bishop, A. R.:
Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing.
In: Physical Review E. Vol. 84 (2011) Issue 2 . - 026614.
DOI: https://doi.org/10.1103/PhysRevE.84.026614

Depondt, Ph. ; Lévy, J.-C. S. ; Mertens, F. G.:
Vortex polarity in 2-D magnetic dots by Langevin dynamics simulations.
In: Physics Letters A. Vol. 375 (2011) Issue 3 . - pp. 628-632.
DOI: https://doi.org/10.1016/j.physleta.2010.12.041

2010

Mertens, F. G.:
A new stability criterion for nonlinear Schrödinger solitons with spatiotemporal driving.
2010
Event: SIAM Conference on Nonlinear Waves and Coherent Structures , 16.-19. Aug. 2010 , Philadelphia, USA.
(Conference item: Conference , Speech )

Gaididei, Yuri ; Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Mertens, F. G.:
Multiple vortex-antivortex pair generation in magnetic nanodots.
In: Physical Review B. Vol. 81 (2010) Issue 9 . - 094431.
DOI: https://doi.org/10.1103/PhysRevB.81.094431

Mertens, F. G. ; Quintero, Niurka R. ; Bishop, A. R.:
Nonlinear Schrödinger equation with spatiotemporal perturbations.
In: Physical Review E. Vol. 81 (2010) Issue 1 . - 016608.
DOI: https://doi.org/10.1103/PhysRevE.81.016608

Depondt, Philippe ; Mertens, F. G.:
Phase diagram and dynamics simulations of two-dimensional spin clusters.
In: Lévy, Jean-Claude S. (ed.): Nanostructures and their magnetic properties. - Trivandrum, India : Research Signpost, 2010

2009

Mertens, F. G.:
Effects of thermal noise on transport in soliton ratchet systems.
2009
Event: International Meeting on "Stochastic Models in Physics, Biology, and Social Sciences" , 12.-14. Feb. 2009 , Carmona, Spanien.
(Conference item: Other Event type, Speech )

Müller, P. ; Mertens, F. G. ; Bishop, A. R.:
Chaotic transport in deterministic sine-Gordon soliton ratchets.
In: Physical Review E. Vol. 79 (2009) Issue 1 . - 016207.
DOI: https://doi.org/10.1103/PhysRevE.79.016207

Quintero, Niurka R. ; Alvarez-Nodarse, R. ; Mertens, F. G.:
Driven and damped double sine-Gordon equation : the influence of internal modes on the soliton ratchet mobility.
In: Physical Review E. Vol. 80 (2009) Issue 1 . - 016605.
DOI: https://doi.org/10.1103/PhysRevE.80.016605

Quintero, N. R. ; Mertens, F. G. ; Bishop, A. R.:
Generalized traveling wave ansatz and variational method for the perturbed nonlinear Schrödinger equation.
2009
Event: International Conference on "Localized Excitations in Nonlinear Complex Systems" , 14.-17. Juli 2009 , Sevilla, Spanien.
(Conference item: Conference , Other Presentation type)

Mertens, F. G. ; Quintero, N. R. ; Bishop, A. R.:
Nonlinear Schrödinger solitons under non-parametric spatio-temporal forces.
2009
Event: International Conference on "Localized Excitations in Nonlinear Complex Systems" , 14.-17. Juli 2009 , Sevilla, Spanien.
(Conference item: Conference , Speech )

Stehr, V. ; Müller, P. ; Mertens, F. G. ; Bishop, A.:
Soliton ratchets in sine-Gordon systems with additive inhomogeneities.
In: Physical Review E. Vol. 79 (2009) Issue 3 . - 036601.
DOI: https://doi.org/10.1103/PhysRevE.79.036601

Depondt, Ph. ; Mertens, F. G.:
Spin dynamics simulations of two-dimensional clusters with Heisenberg and dipole–dipole interactions.
In: Journal of Physics: Condensed Matter. Vol. 21 (2009) Issue 33 . - p. 336005.
DOI: https://doi.org/10.1088/0953-8984/21/33/336005

2008

Gaididei, Yuri ; Sheka, Denis D. ; Mertens, F. G.:
Controllable switching of vortex chirality in magnetic nanodisks by a field pulse.
In: Applied Physics Letters. Vol. 92 (2008) Issue 1 . - 012503.
DOI: https://doi.org/10.1063/1.2829795

Volltext
Sheka, Denis D. ; Gaididei, Yuri ; Mertens, F. G.:
Current induced vortex dynamics in magnetic nanodisc.
In: Kamenetskii, Eugene O. (ed.): Electromagnetic, magnetostatic, and exchange-interaction vortices in confined magnetic structures. - Trivandrum, India : Transworld Research Network, 2008 . - pp. 59-75

Depondt, Ph. ; Mertens, F. G.:
Spin dynamics simulations of two-dimensional clusters with dipole-dipole interactions.
2008
Event: Future Workshop "New Concepts in Spin Dynamics" , Bad Honneff.
(Conference item: Workshop , Other Presentation type)

Mertens, F. G. ; Sheka, D. D. ; Gaididei, Y. ; Kravchuk, V. P.:
Switching of the polarity of vortices in magnetic nanodots.
2008
Event: 8th International Young Scientists' Conference on Applied Physics , Kiew, Ukraine.
(Conference item: Conference , Speech )

Volltext
Gaididei, Yuri B. ; Kravchuk, Volodymyr P. ; Mertens, F. G. ; Sheka, Denis D.:
Switching phenomena in magnetic vortex dynamics.
In: Fizika Nizkikh Temperatur. Vol. 34 (2008) Issue 7 . - pp. 669-676.

Mertens, F. G. ; Müller, P. ; Bishop, A. R.:
Unidirectional motion of solitons in chaotic regimes of sine-Gordon ratchet systems.
2008
Event: NATO Advanced Research Workshop "Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions : From Molecules to Water, to Nanoparticles, DNA and Proteins" , Kiew, Ukraine.
(Conference item: Workshop , Speech )

Mertens, F. G. ; Sheka, D. D. ; Gaididei, Y. ; Kravchuk, V. P.:
Vortex polarity switching in magnetic nanodots by a rotating magnetic field or a spin-polarized current.
2008
Event: Future Workshop "New Concepts in Spin Dynamics" , Bad Honneff.
(Conference item: Workshop , Speech )

2007

Kravchuk, Volodymyr P. ; Sheka, Denis D. ; Gaididei, Yuri ; Mertens, F. G.:
Controlled vortex core switching in a magnetic nanodisk by a rotating field.
In: Journal of Applied Physics. Vol. 102 (2007) Issue 4 . - 043908.
DOI: https://doi.org/10.1063/1.2770819

Sheka, D. D. ; Gaididei, Y. B. ; Mertens, F. G.:
Current induced dynamics of magnetic vortex in nanoparticles.
In: Abstracts of the International Conference Functional Materials. (2007) . - p. 319.

Sheka, Denis D. ; Gaididei, Yuri ; Mertens, F. G.:
Current induced switching of vortex polarity in magnetic nanodisks.
In: Applied Physics Letters. Vol. 91 (2007) Issue 8 . - 082509.
DOI: https://doi.org/10.1063/1.2775036

Caputo, Jean-Guy ; Gaididei, Yuri ; Kravchuk, Volodymyr P. ; Mertens, F. G. ; Sheka, Denis D.:
Effective anisotropy of thin nanomagnets : beyond the surface-anisotropy approach.
In: Physical Review B. Vol. 76 (2007) Issue 17 . - p. 174428.
DOI: https://doi.org/10.1103/PhysRevB.76.174428

Brunhuber, C. ; Mertens, F. G. ; Gaididei, Y.:
Long-range effects on superdiffusive algebraic solitons in anharmonic chains.
In: The European Physical Journal B. Vol. 57 (2007) Issue 1 . - pp. 57-65.
DOI: https://doi.org/10.1140/epjb/e2007-00150-3

Mertens, F. G.:
Optimization of soliton ratchets in inhomogeneous sine-Gordon systems.
2007
Event: Ratchets in point-particle systems and in extended models : Mechanisms, control and applications , 05.-07. Feb. 2007 , Carmona, Spanien.
(Conference item: Workshop , Speech )

Ivanov, Boris A. ; Sheka, Denis D. ; Kryvonos, Vasyl V. ; Mertens, F. G.:
Quantum effects for the two-dimensional soliton in isotropic ferromagnets.
In: Physical Review B. Vol. 75 (2007) Issue 13 . - p. 132401.
DOI: https://doi.org/10.1103/PhysRevB.75.132401

Zamora-Sillero, Elías ; Quintero, Niurka R. ; Mertens, F. G.:
Sine-Gordon ratchets with general periodic, additive, and parametric driving forces.
In: Physical Review E. Vol. 76 (2007) Issue 6 . - 066601.
DOI: https://doi.org/10.1103/PhysRevE.76.066601

Arévalo, Edward ; Mertens, F. G.:
Thermal diffusion of Boussinesq solitons.
In: Physical Review E. Vol. 76 (2007) Issue 4 . - 046607.
DOI: https://doi.org/10.1103/PhysRevE.76.046607

Brunhuber, C. ; Mertens, F. G. ; Gaididei, Y.:
Thermal diffusion of solitons on anharmonic chains with long-range coupling.
In: Physical Review E. Vol. 75 (2007) Issue 3 . - 036615.
DOI: https://doi.org/10.1103/PhysRevE.75.036615

Kravchuk, V. P. ; Sheka, D. D. ; Gaididei, Y. B. ; Mertens, F. G.:
Ultrafast control of a vortex core dynamics in magnetic nanodisks.
In: Abstracts of the International Conference Functional Materials. (2007) . - p. 400.

Kravchuk, V. P. ; Sheka, D. D. ; Gaididei, Y. ; Mertens, F. G.:
The ultrafast control of the switching process in the vortex state magnetic nanodots.
In: Proceedings of the Seventh international young scientists' conference on applied physics. - Kiew , 2007 . - pp. 59-60

Kravchuk, V. P. ; Sheka, D. D. ; Mertens, F. G.:
The ultrafast control of the switching process in the vortex state magnetic nanodots.
In: Abstracts of the International Conference on Nanoscale Magnetism. (2007) . - p. 69.

Caputo, Jean-Guy ; Gaididei, Yuri ; Mertens, F. G. ; Sheka, Denis D.:
Vortex Polarity Switching by a Spin-Polarized Current.
In: Physical Review Letters. Vol. 98 (2007) Issue 5 . - 056604.
DOI: https://doi.org/10.1103/PhysRevLett.98.056604

Mertens, F. G. ; Gaididei, Y. ; Sheka, D. ; Caputo, J. G.:
Vortex polarity switching in magnetic nanodots due to a magnetic field or a spin-polarized current.
In: Abstracts of the International Conference on Nanoscale Magnetism. (2007) . - p. 68.

2006

Sheka, D. D. ; Krivonos, V. V. ; Ivanov, B. A. ; Mertens, F. G.:
Casimir energy and the problem of quantum stabilisation of 2D solitons in isotropic magnets.
2006
Event: International Workshop Nonlinear Physics and Mathematics , 25.-27. Mai 2006 , Kiew, Ukraine.
(Conference item: Workshop , Other Presentation type)

Sheka, D. D. ; Schuster, C. ; Ivanov, B. A. ; Mertens, F. G.:
Dynamics of topological solitons in two-dimensional ferromagnets.
In: The European Physical Journal B. Vol. 50 (2006) Issue 3 . - pp. 393-402.
DOI: https://doi.org/10.1140/epjb/e2006-00153-6

Brunhuber, C. ; Mertens, F. G. ; Gaididei, Y.:
Envelope solitons on anharmonic damped atomic chains.
In: Physical Review E. Vol. 73 (2006) Issue 1 . - 016614.
DOI: https://doi.org/10.1103/PhysRevE.73.016614

Morales-Molina, Luis ; Mertens, F. G. ; Sánchez, Angel:
Inhomogeneous soliton ratchets under two ac forces.
In: Physical Review E. Vol. 73 (2006) Issue 4 . - 046605.
DOI: https://doi.org/10.1103/PhysRevE.73.046605

Sheka, Denis D. ; Mertens, F. G.:
Levinson theorem for Aharonov-Bohm scattering in two dimensions.
In: Physical Review A. Vol. 74 (2006) Issue 5 . - 052703.
DOI: https://doi.org/10.1103/PhysRevA.74.052703

Mertens, F. G. ; Morales-Molina, L. ; Bishop, A. R. ; Sánchez, A. ; Müller, P.:
Optimization of soliton ratchets in inhomogeneous sine-Gordon systems.
In: Physical Review E. Vol. 74 (2006) Issue 6 . - 066602.
DOI: https://doi.org/10.1103/PhysRevE.74.066602

Brunhuber, C. ; Mertens, F. G. ; Gaididei, Y.:
Persistent breathers in long-ranged discrete nonlinear Schrödinger models.
In: Physical Review E. Vol. 73 (2006) Issue 5 . - 056610.
DOI: https://doi.org/10.1103/PhysRevE.73.056610

Zamora-Sillero, Elías ; Quintero, Niurka R. ; Mertens, F. G.:
Ratchet effect in a damped sine-Gordon system with additive and parametric ac driving forces.
In: Physical Review E. Vol. 74 (2006) Issue 4 . - 046607.
DOI: https://doi.org/10.1103/PhysRevE.74.046607

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Reply to “Comment on ‘Existence of internal modes of sine-Gordon kinks’ ”.
In: Physical Review E. Vol. 73 (2006) Issue 6 . - 068602.
DOI: https://doi.org/10.1103/PhysRevE.73.068602

Morales-Molina, Luis ; Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Soliton ratchets in homogeneous nonlinear Klein-Gordon systems.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science. Vol. 16 (2006) Issue 1 . - 013117.
DOI: https://doi.org/10.1063/1.2158261

2005

Volltext
Sheka, D. D. ; Gaididei, Y. B. ; Caputo, J.-G. ; Zagorodny, J. P. ; Mertens, F. G.:
A limit cycle in the dynamics of a magnetic vortex in a two-dimensional nanodot.
In: Ukrainian Journal of Physics. Vol. 50 (2005) Issue 11 . - pp. 1278-1287.

Kravchuk, V. P. ; Sheka, D. D. ; Gaididei, Y. B. ; Mertens, Franz:
Magnetic phase transitions in ferromagnetic nanorings.
In: Proceedings of the I International Conference "Electronics and applied physics". - Kiew , 2005 . - pp. 32-33

Mertens, F. G. ; Arévalo, Edward ; Bishop, A. R.:
Nondissipative diffusion of lattice solitons out of thermal equilibrium.
In: Physical Review E. Vol. 72 (2005) Issue 3 . - 036617.
DOI: https://doi.org/10.1103/PhysRevE.72.036617

Morales-Molina, Luis ; Mertens, F. G. ; Sánchez, Angel:
Ratchet behavior in nonlinear Klein-Gordon systems with pointlike inhomogeneities.
In: Physical Review E. Vol. 72 (2005) Issue 1 . - 016612.
DOI: https://doi.org/10.1103/PhysRevE.72.016612

Sheka, Denis D. ; Zagorodny, Juan P. ; Caputo, Jean-Guy ; Gaididei, Yuri ; Mertens, F. G.:
Vortex motion in a finite-size easy-plane ferromagnet and application to a nanodot.
In: Physical Review B. Vol. 71 (2005) Issue 13 . - p. 134420.
DOI: https://doi.org/10.1103/PhysRevB.71.134420

2004

Sheka, Denis D. ; Yastremsky, Ivan A. ; Ivanov, Boris A. ; Wysin, Gary M. ; Mertens, F. G.:
Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets.
In: Physical Review B. Vol. 69 (2004) Issue 5 . - 054429.
DOI: https://doi.org/10.1103/PhysRevB.69.054429

Schuster, C. ; Meister, M. ; Mertens, F. G.:
Diffusion of solitons in anisotropic Heisenberg models.
In: The European Physical Journal B. Vol. 42 (2004) Issue 3 . - pp. 381-390.
DOI: https://doi.org/10.1140/epjb/e2004-00394-3

Schuster, C. ; Mertens, F. G. ; Meister, M.:
Diffusion of solitons in anisotropic Heisenberg models.
2004
Event: Emil-Warburg-Seminar of the International Research Training Group "Nonequilibrium Phenomena and Phase Transitions in Complex Systems" in connection with the STOCHDYN-Mini-Workshop "From the Boltzmann equation to Brownian Ratchets" , 28.09. - 03.10.2004 , Bayreuth.
(Conference item: Other Event type, Other Presentation type)

Mertens, F. G.:
Dynamics of vortices in quasi-two-dimensional magnets.
2004
Event: Emil-Warburg-Seminar of the International Research Training Group "Nonequilibrium Phenomena and Phase Transitions in Complex Systems" in connection with the STOCHDYN-Mini-Workshop "From the Boltzmann equation to Brownian Ratchets" , 28.09. - 03.10.2004 , Bayreuth.
(Conference item: Other Event type, Speech )

Brunhuber, C. ; Mertens, F. G.:
Envelope solitons on anharmonic damped atomic chains.
2004
Event: Emil-Warburg-Seminar of the International Research Training Group "Nonequilibrium Phenomena and Phase Transitions in Complex Systems" in connection with the STOCHDYN-Mini-Workshop "From the Boltzmann equation to Brownian Ratchets" , 28.09. - 03.10.2004 , Bayreuth.
(Conference item: Other Event type, Other Presentation type)

Zagorodny, Juan P. ; Gaididei, Yuri ; Sheka, Denis D. ; Caputo, Jean-Guy ; Mertens, F. G.:
Importance of the Internal Shape Mode in Magnetic Vortex Dynamics.
In: Physical Review Letters. Vol. 93 (2004) Issue 16 . - p. 167201.
DOI: https://doi.org/10.1103/PhysRevLett.93.167201

Morales-Molina, L. ; Mertens, F. G. ; Sánchez, A.:
Ratchet dynamics in nonlinear Klein-Gordon systems with point-like inhomogeneities.
2004
Event: Emil-Warburg-Seminar of the International Research Training Group "Nonequilibrium Phenomena and Phase Transitions in Complex Systems" in connection with the STOCHDYN-Mini-Workshop "From the Boltzmann equation to Brownian Ratchets" , 28.09. - 03.10.2004 , Bayreuth.
(Conference item: Other Event type, Other Presentation type)

Sánchez, Angel ; Morales-Molina, Luis ; Mertens, F. G. ; Quintero, Niurka R. ; Buceta, Javier ; Lindenberg, Katja:
Ratchets in homogeneous extended systems : internal modes and the role of noise.
In: Fluctuation and Noise Letters. Vol. 4 (2004) Issue 4 . - L571-L584.
DOI: https://doi.org/10.1142/S0219477504002208

Arévalo, Edward ; Gaididei, Yuri ; Mertens, F. G.:
Soliton diffusion on chains of coupled nonlinear oscillators.
In: Physica A: Statistical Mechanics and its Applications. Vol. 334 (2004) Issue 3/4 . - pp. 417-443.
DOI: https://doi.org/10.1016/j.physa.2003.10.084

Morales-Molina, L. ; Mertens, F. G. ; Sánchez, A.:
Soliton ratchets out of point-like inhomogeneities.
In: The European Physical Journal B. Vol. 37 (2004) Issue 1 . - pp. 79-83.
DOI: https://doi.org/10.1140/epjb/e2004-00031-3

Brunhuber, C. ; Mertens, F. G. ; Gaididei, Y.:
Thermal diffusion of envelope solitons on anharmonic atomic chains.
In: The European Physical Journal B. Vol. 42 (2004) Issue 1 . - pp. 103-112.
DOI: https://doi.org/10.1140/epjb/e2004-00361-0

2003

Kovalev, A. S. ; Mertens, F. G. ; Schnitzer, H. J.:
Cycloidal vortex motion in easy-plane ferromagnets due to interaction with spin waves.
In: The European Physical Journal B. Vol. 33 (2003) Issue 2 . - pp. 133-145.
DOI: https://doi.org/10.1140/epjb/e2003-00150-3

Caputo, J.-G. ; Zagorodny, J. P. ; Gaididei, Y. ; Mertens, F. G.:
Deflection of a vortex pair by an interface in easy-plane ferromagnets.
In: Journal of Physics A: Mathematical and General. Vol. 36 (2003) Issue 15 . - pp. 4259-4267.
DOI: https://doi.org/10.1088/0305-4470/36/15/303

Caputo, J.-G. ; Zagorodny, J. P. ; Gaididei, Y. ; Mertens, F. G.:
Deflection of a vortex-pair by an interface in 2D easy-plane ferromagnets.
2003
Event: Seminar of the International Research Training Group: Non-equilibrium Phenomena and Phase Transitions in Complex Systems , 11.-17. Sept. 2003 , Benasque, Spanien.
(Conference item: Other Event type, Other Presentation type)

Schuster, C. ; Mertens, F. G. ; Meister, M.:
Diffusion von Solitonen in anisotropen Heisenbergmodellen.
2003
Event: Seminar of the International Research Training Group: Non-equilibrium Phenomena and Phase Transitions in Complex Systems , 11.-17. Sept. 2003 , Benasque, Spanien.
(Conference item: Other Event type, Other Presentation type)

Sheka, Denis ; Ivanov, Boris ; Mertens, F. G.:
Generalized Levinson theorem for singular potentials in two dimensions.
In: Physical Review A. Vol. 68 (2003) Issue 1 . - 012707.
DOI: https://doi.org/10.1103/PhysRevA.68.012707

Morales-Molina, Luis ; Quintero, Niurka R. ; Mertens, F. G. ; Sánchez, Angel:
Internal Mode Mechanism for Collective Energy Transport in Extended Systems.
In: Physical Review Letters. Vol. 91 (2003) Issue 23 . - p. 234102.
DOI: https://doi.org/10.1103/PhysRevLett.91.234102

Mertens, F. G.:
Moving envelope solitons on 1D and 2D anharmonic lattices.
2003
Event: LOCNET International Workshop on "Moving Breathers in Inhomogeneous Lattices" , 20.-22. Feb. 2003 , Sevilla, Spanien.
(Conference item: Workshop , Speech )

Lythe, Grant ; Mertens, F. G.:
Rice’s ansatz for overdamped φ4 kinks at finite temperature.
In: Physical Review E. Vol. 67 (2003) Issue 2 . - 027601.
DOI: https://doi.org/10.1103/PhysRevE.67.027601

Komineas, S. ; Bishop, A. R. ; Mertens, F. G.:
Stretched-exponential relaxation in two-dimensional easy-plane ferromagnets.
In: Europhysics Letters. Vol. 61 (2003) Issue 3 . - pp. 389-395.
DOI: https://doi.org/10.1209/epl/i2003-00188-3

Zagorodny, J. P. ; Gaididei, Y. ; Mertens, F. G. ; Bishop, A. R.:
Switching of vortex polarization in 2D easy-plane magnets by magnetic fields.
In: The European Physical Journal B. Vol. 31 (2003) Issue 4 . - pp. 471-487.
DOI: https://doi.org/10.1140/epjb/e2003-00057-y

Brunhuber, C, ; Mertens, F. G. ; Gaididei, Y.:
Thermal diffusion of envelope-solitons on an atomic chain.
2003
Event: Seminar of the International Research Training Group: Non-equilibrium Phenomena and Phase Transitions in Complex Systems , 11.-17. Sept. 2003 , Benasque, Spanien.
(Conference item: Other Event type, Other Presentation type)

Arévalo, Edward ; Mertens, F. G. ; Gaididei, Yuri ; Bishop, A. R.:
Thermal diffusion of supersonic solitons in an anharmonic chain of atoms.
In: Physical Review E. Vol. 67 (2003) Issue 1 . - 016610.
DOI: https://doi.org/10.1103/PhysRevE.67.016610

Mertens, F. G.:
What's a soliton? And what does thermal noise or driving?
2003
Event: Seminar of the International Research Training Group: Non-equilibrium Phenomena and Phase Transitions in Complex Systems , 11.-17. Sept. 2003 , Benasque, Spanien.
(Conference item: Other Event type, Speech )

2002

Arevalo, E. ; Gaididei, Y. ; Mertens, F. G.:
Soliton diffusion on chains of coupled nonlinear oscillators : perturbed Korteweg-de Vries equation.
2002
Event: Seminar of the European Graduate School on Non-Equilibrium Phase Phenomena and Phase Transitions in Complex Systems , Ávila , Spanien.
(Conference item: Other Event type, Other Presentation type)

Sánchez, A. ; Mertens, F. G.:
Solitons and Vortices under Perturbations.
2002
Event: Seminar of the European Graduate School on Non-Equilibrium Phase Phenomena and Phase Transitions in Complex Systems , Ávila, Spanien.
(Conference item: Other Event type, Speech )

Zagorodny, J. P. ; Gaididei, Y. ; Mertens, F. G. ; Bishop, A. R.:
Switching of vortex polarization in 2D magnets by magnetic fields.
2002
Event: Seminar of the European Graduate School on Non-Equilibrium Phase Phenomena and Phase Transitions in Complex Systems , Ávila, Spanien.
(Conference item: Other Event type, Other Presentation type)

Kuhn, R. ; Mertens, F. G.:
Two-vortex dynamics in 2D easy-plane ferromagnets.
2002
Event: Seminar of the European Graduate School on Non-Equilibrium Phase Phenomena and Phase Transitions in Complex Systems , Ávila, Spanien.
(Conference item: Other Event type, Other Presentation type)

Szeftel, Jacob ; Ilisca, Ernest ; Mertens, F. G. ; Tribaldos, Edward Arevalo:
Localized versus traveling waves in infinite anharmonic lattices.
In: Physics Letters A. Vol. 297 (2002) Issue 3/4 . - pp. 218-224.
DOI: https://doi.org/10.1016/S0375-9601(02)00373-0

Kovalev, A. S. ; Komineas, S. ; Mertens, F. G.:
Scattering of vortex pairs in 2D easy-plane ferromagnets.
In: The European Physical Journal B. Vol. 25 (2002) Issue 1 . - pp. 89-100.
DOI: https://doi.org/10.1140/e10051-002-0010-1

Arévalo, E. ; Gaididei, Y. ; Mertens, F. G.:
Soliton dynamics in damped and forced Boussinesq equations.
In: The European Physical Journal B. Vol. 27 (2002) Issue 1 . - pp. 63-74.
DOI: https://doi.org/10.1140/epjb/e20020130

2001

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Anomalies of ac driven solitary waves with internal modes : Nonparametric resonances induced by parametric forces.
In: Physical Review E. Vol. 64 (2001) Issue 4 . - 046601.
DOI: https://doi.org/10.1103/PhysRevE.64.046601

Quintero, Niurka R. ; Sánchez, A. ; Mertens, F. G.:
Internal mode dynamics in driven nonlinear Klein-Gordon systems.
In: The European Physical Journal B. Vol. 19 (2001) Issue 1 . - pp. 107-115.
DOI: https://doi.org/10.1007/s100510170355

Sheka, Denis D. ; Ivanov, Boris A. ; Mertens, F. G.:
Internal modes and magnon scattering on topological solitons in two-dimensional easy-axis ferromagnets.
In: Physical Review B. Vol. 64 (2001) Issue 2 . - 024432.
DOI: https://doi.org/10.1103/PhysRevB.64.024432

Christiansen, P. L. ; Gaididei, Y. B. ; Mertens, F. G. ; Mingaleev, S. F.:
Multi-component structure of nonlinear excitations in systems with length-scale competition.
In: The European Physical Journal B. Vol. 19 (2001) Issue 4 . - pp. 545-553.
DOI: https://doi.org/10.1007/s100510170300

Meister, M. ; Mertens, F. G. ; Sánchez, A.:
Soliton diffusion on the classical, isotropic Heisenberg chain.
In: The European Physical Journal B. Vol. 20 (2001) Issue 3 . - pp. 405-417.
DOI: https://doi.org/10.1007/s100510170259

Kamppeter, T. ; Leonel, S. A. ; Mertens, F. G. ; Gouvêa, M. E. ; Pires, A. S. T. ; Kovalev, A. S.:
Topological and dynamical excitations in a classical 2D easy-axis Heisenberg model.
In: The European Physical Journal B. Vol. 21 (2001) Issue 1 . - pp. 93-102.
DOI: https://doi.org/10.1007/PL00011118

2000

Mertens, F. G.:
Generalized Travelling Wave Ansatz for Solitons and Vortices.
2000
Event: International Workshop and Seminar on Vortices, Solitons, and Frustration Phenomena in 2D Magnetic and Optical Systems , Dresden.
(Conference item: Workshop , Speech )

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Anomalous Resonance Phenomena of Solitary Waves with Internal Modes.
In: Physical Review Letters. Vol. 84 (2000) Issue 5 . - pp. 871-874.
DOI: https://doi.org/10.1103/PhysRevLett.84.871

Schnitzer, H. J. ; Mertens, F. G. ; Bishop, A. R.:
A collective-variable theory for nonlinear coherent excitations in classical Hamiltonian systems.
In: Physica D: Nonlinear Phenomena. Vol. 141 (2000) Issue 3/4 . - pp. 261-280.
DOI: https://doi.org/10.1016/S0167-2789(00)00041-5

Mertens, F. G. ; Bishop, Alan R.:
Dynamics of Vortices in Two-Dimensional Magnets.
In: Christiansen, P. L. ; Sørensen, M. P. ; Scott, A. C. (ed.): Nonlinear Science at the Dawn of the 21st Century. - Berlin : Springer, 2000 . - pp. 137-170 . - (Lecture Notes in Physics ; 542 )
DOI: https://doi.org/10.1007/3-540-46629-0_7

Mertens, F. G. ; Hochstrasser, Dieter ; Büttner, Helmut:
Energy transport by lattice solitons in α-helical proteins.
In: Hoffmann, Heinz ; Schwoerer, Markus ; Vogtmann, Thomas (ed.): Macromolecular systems: microscopic interactions and macroscopic properties : final report of the Collaborative Research Centre 213, "Topospezifische Chemie und Toposelektive Spektroskopie von Makromolekülsystemen: Mikroskopische Wechselwirkung und Makroskopische Funktion", 1984-1995. - Weinheim : Wiley-VCH, 2000 . - pp. 424-439
DOI: https://doi.org/10.1002/9783527609284.ch21

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Existence of internal modes of sine-Gordon kinks.
In: Physical Review E. Vol. 62 (2000) Issue 1 . - R60-R63.
DOI: https://doi.org/10.1103/PhysRevE.62.R60

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Resonances in the dynamics of φ4 kinks perturbed by ac forces.
In: Physical Review E. Vol. 62 (2000) Issue 4 . - pp. 5695-5705.
DOI: https://doi.org/10.1103/PhysRevE.62.5695

Mingaleev, Serge F. ; Gaididei, Yuri B. ; Mertens, F. G.:
Solitons in anharmonic chains with ultra-long-range interatomic interactions.
In: Physical Review E. Vol. 61 (2000) Issue 2 . - R1044-R1047.
DOI: https://doi.org/10.1103/PhysRevE.61.R1044

Meister, Matthias ; Mertens, F. G.:
Stochastic motion of solitary excitations on the classical Heisenberg chain.
In: Journal of Physics A: Mathematical and General. Vol. 33 (2000) Issue 11 . - pp. 2195-2207.
DOI: https://doi.org/10.1088/0305-4470/33/11/303

Gaididei, Yuri ; Kamppeter, Till ; Mertens, F. G. ; Bishop, A. R.:
Switching between different vortex states in two-dimensional easy-plane magnets due to an ac magnetic field.
In: Physical Review B. Vol. 61 (2000) Issue 14 . - pp. 9449-9452.
DOI: https://doi.org/10.1103/PhysRevB.61.9449

Quintero, N. R. ; Sánchez, A. ; Mertens, F. G.:
Thermal diffusion of sine-Gordon solitons.
In: The European Physical Journal B. Vol. 16 (2000) Issue 2 . - pp. 361-368.
DOI: https://doi.org/10.1007/PL00011061

1999

Kamppeter, T. ; Mertens, F. G. ; Sánchez, A. ; Bishop, A. R. ; Domínguez-Adame, F. ; Grønbech-Jensen, N.:
Finite temperature dynamics of vortices in the two dimensional anisotropic Heisenberg model.
In: The European Physical Journal B. Vol. 7 (1999) Issue 4 . - pp. 607-618.
DOI: https://doi.org/10.1007/s100510050653

Gouvêa, M. E. ; Wysin, G. M. ; Leonel, S. A. ; Pires, A. S. T. ; Kamppeter, T. ; Mertens, F. G.:
Low-temperature static and dynamic behavior of the two-dimensional easy-axis Heisenberg model.
In: Physical Review B. Vol. 59 (1999) Issue 9 . - pp. 6229-6238.
DOI: https://doi.org/10.1103/PhysRevB.59.6229

Gaididei, Yuri ; Kamppeter, Till ; Mertens, F. G. ; Bishop, Alan:
Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets.
In: Physical Review B. Vol. 59 (1999) Issue 10 . - pp. 7010-7019.
DOI: https://doi.org/10.1103/PhysRevB.59.7010

Schliemann, John ; Mertens, F. G.:
On the semiclassical treatment of anharmonic quantum oscillators via coherent states : the Toda chain revisited.
In: Journal of Physics A: Mathematical and General. Vol. 32 (1999) Issue 31 . - pp. 5823-5833.
DOI: https://doi.org/10.1088/0305-4470/32/31/307

Quintero, Niurka R. ; Sánchez, Angel ; Mertens, F. G.:
Overdamped sine-Gordon kink in a thermal bath.
In: Physical Review E. Vol. 60 (1999) Issue 1 . - pp. 222-230.
DOI: https://doi.org/10.1103/PhysRevE.60.222

Kamppeter, Till ; Mertens, F. G. ; Moro, Esteban ; Sánchez, Angel ; Bishop, A. R.:
Stochastic vortex dynamics in two-dimensional easy-plane ferromagnets : Multiplicative versus additive noise.
In: Physical Review B. Vol. 59 (1999) Issue 17 . - pp. 11349-11357.
DOI: https://doi.org/10.1103/PhysRevB.59.11349

Schliemann, J. ; Mertens, F. G.:
Vortices in quantum spin systems.
In: The European Physical Journal B. Vol. 9 (1999) Issue 2 . - pp. 237-243.
DOI: https://doi.org/10.1007/s100510050762

1998

Gaididei, Y. ; Huß, R. ; Mertens, F. G.:
Envelope solitary waves on two-dimensional lattices with in-plane displacements.
In: The European Physical Journal B. Vol. 6 (1998) Issue 2 . - pp. 257-271.
DOI: https://doi.org/10.1007/s100510050548

Ivanov, B. A. ; Schnitzer, H. J. ; Mertens, F. G. ; Wysin, G. M.:
Magnon modes and magnon-vortex scattering in two-dimensional easy-plane ferromagnets.
In: Physical Review B. Vol. 58 (1998) Issue 13 . - pp. 8464-8474.
DOI: https://doi.org/10.1103/PhysRevB.58.8464

Schliemann, John ; Mertens, F. G.:
Semiclassical description of Heisenberg models via spin-coherent states.
In: Journal of Physics: Condensed Matter. Vol. 10 (1998) Issue 5 . - pp. 1091-1102.
DOI: https://doi.org/10.1088/0953-8984/10/5/016

Mingaleev, Serge F. ; Gaididei, Yuri B. ; Mertens, F. G.:
Solitons in anharmonic chains with power-law long-range interactions.
In: Physical Review E. Vol. 58 (1998) Issue 3 . - pp. 3833-3842.
DOI: https://doi.org/10.1103/PhysRevE.58.3833

Kamppeter, T. ; Mertens, F. G. ; Sánchez, A. ; Dominguez-Adame, F. ; Bishop, A. R. ; Grønbech-Jensen, N.:
Temperature Effects on Vortex Dynamics of the Two-Dimensional Anisotropic Heisenberg Model.
In: Cuesta, J. A. ; Sánchez, A. (ed.): Proceedings of the VIII Spanish Meeting on Statistical Physics FISES 97. - Madrid : Editorial Ciemat, 1998 . - pp. 133-136 . - (Anales de Física. Monografías RSEF ; 4 )

1997

Huß, R. ; Gaididei, Y. ; Mertens, F. G.:
Combined Envelope-Envelope Solitons on 2-D Lattices.
In: Vázquez, Luis ; Tirado, Francisco ; Martín, Ignacio (ed.): Supercomputation in nonlinear and disordered systems : algorithms, applications and architectures, Proceeding of the Conference. - Singapore : World Scientific Publishing, 1997
DOI: https://doi.org/10.1142/9789814530118

Kamppeter, T. ; Mertens, F. G. ; Sánchez, Angel ; Gronbech-Jensen, N. ; Bishop, A. R. ; Dominguez-Adame, F.:
Dynamics of Non-Planar Vortices in the Classical 2D Anisotropic Heisenberg Model at Finite Temperatures.
In: Clark, John W. ; Ristig, Manfred L. (ed.): Theory of Spin Lattices and Lattice Gauge Models : proceedings of the 165th WE-Heraeus-Seminar, held at Physikzentrum Bad Honnef, Germany, 14 - 16 October 1996. - Berlin : Springer, 1997 . - pp. 147-163 . - (Lecture Notes in Physics ; 494 )
DOI: https://doi.org/10.1007/BFb0104307

Gaididei, Yuri ; Flytzanis, Nikos ; Neuper, Andreas ; Mertens, F. G.:
Effect of non-local interactions on soliton dynamics in anharmonic chains : Scale competition.
In: Physica D: Nonlinear Phenomena. Vol. 107 (1997) Issue 1 . - pp. 83-111.
DOI: https://doi.org/10.1016/S0167-2789(97)00061-4

Huß, R. ; Gaididei, Y. ; Mertens, F. G.:
Envelope Solitons on Two-Dimensional Lattices with In-Plane Displacements.
1997
Event: Solitons and Coherent Structures in Physics and Biology , Lyngby, Dänemark.
(Conference item: Workshop , Paper )

Mertens, F. G. ; Schnitzer, H. J. ; Bishop, A. R. ; Kamppeter, T.:
General Collective Variable Theory for Nonlinear Coherent Excitations Applied to Magnetic Vortices.
1997
Event: Solitons and Coherent Structures in Physics and Biology , Lyngby, Dänemark.
(Conference item: Workshop , Other Presentation type)

Mertens, F. G. ; Schnitzer, H. J. ; Bishop, A. R.:
Hierarchy of equations of motion for nonlinear coherent excitations applied to magnetic vortices.
In: Physical Review B. Vol. 56 (1997) Issue 5 . - pp. 2510-2520.
DOI: https://doi.org/10.1103/PhysRevB.56.2510

Kamppeter, T. ; Mertens, F. G. ; Sánchez, A. ; Dominguez-Adame, F. ; Bishop, A. R. ; Gronbech-Jensen, N.:
Temperature Effects on Vortex Dynamics in the 2D Anisotropic Heisenberg Model.
1997
Event: Solitons and Coherent Structures in Physics and Biology , Lyngby, Dänemark.
(Conference item: Workshop , Paper )

1996

Mertens, F. G.:
Vortex Dynamics in Two-Dimensional Magnets at Finite Temperature.
1996
Event: International Workshop on Nonequilibrium Phase Transitions , Santa Fe, USA.
(Conference item: Workshop , Speech )

Mertens, F. G.:
Nonlinear Excitations in 2-Dimensional Magnets.
In: Vázquez, Luis ; Jiménez, Salvador (ed.): The nonlinearity and the disorder = La no linealidad y el desorden. - Madrid : Editorial Complutense, 1996 . - pp. 145-161

1995

Gaididei, Yuri ; Flytzanis, Nikos ; Mertens, F. G.:
Axi-symmetric nonlinear waves in two-dimensional anharmonic lattices.
In: Physica D: Nonlinear Phenomena. Vol. 82 (1995) Issue 3 . - pp. 229-242.
DOI: https://doi.org/10.1016/0167-2789(94)00235-I

Huß, R. ; Mertens, F. G. ; Gaididei, Y.:
Combined Envelope-Envelope Solitons on Square Lattices.
1995
Event: International Conference on Nonlinear Coherent Structures in Physics and Biology , 10.-14. Juli 1995 , Edinburgh, Großbritannien.
(Conference item: Conference , Paper )

Neuper, A. ; Mertens, F. G.:
Dynamic form factor for the Yomosa model for the energy transport in proteins.
In: Peyrard, M. (ed.): Nonlinear Excitations in Biomolecules : Les Houches School, May 30 to June 4, 1994. - Berlin : Springer, 1995 . - pp. 287-294
DOI: https://doi.org/10.1007/978-3-662-08994-1_22

Neuper, A. ; Mertens, F. G.:
Dynamic Form Factors In The Toda Chain.
1995
Event: International Conference on Nonlinear Coherent Structures in Physics and Biology , 10.-14. Juli 1995 , Edinburgh, Großbritannien.
(Conference item: Conference , Poster )

Gaididei, Yuri ; Flytzanis, Nikos ; Neuper, Andreas ; Mertens, F. G.:
Effect of Nonlocal Interactions on Soliton Dynamics in Anharmonic Lattices.
In: Physical Review Letters. Vol. 75 (1995) Issue 11 . - pp. 2240-2243.
DOI: https://doi.org/10.1103/PhysRevLett.75.2240

Huß, R. ; Mertens, F. G. ; Gaididei, Y.:
Pulse-Envelope Solitons on 2-D Lattices with In-Plane Displacements.
In: Bishop, A. R. ; Jiménez, S. ; Vázquez, L. (ed.): Fluctuation Phenomena : Disorder and Nonlinearity : proceedings of the international workshop, San Lorenzo de El Escorial, Madrid, Spain, 26-30 September 1994. - Singapore : World Scientific, 1995 . - pp. 244-250
DOI: https://doi.org/10.1142/9789814503877_0039

1994

Völkel, A. R. ; Mertens, F. G. ; Wysin, G. M. ; Bishop, A. R. ; Schnitzer, H. J.:
Collective Variable Approach for a Magnetic N-Vortex System.
In: Spatschek, K. H. ; Mertens, F. G. (ed.): Nonlinear Coherent Structures in Physics and Biology : proceedings of a NATO Advanced Research Workshop on Nonlinear Coherent Structures in Physics and Biology, held June 1 - 4, 1993, in Bayreuth, Germany. - New York : Plenum Press, 1994 . - pp. 199-206 . - (NATO ASI Series : Series B, Physics ; 329 )
DOI: https://doi.org/10.1007/978-1-4899-1343-2_29

Völkel, A. R. ; Wysin, G. M. ; Mertens, F. G. ; Bishop, A. R. ; Schnitzer, H. J.:
Collective-variable approach to the dynamics of nonlinear magnetic excitations with application to vortices.
In: Physical Review B. Vol. 50 (1994) Issue 17 . - pp. 12711-12720.
DOI: https://doi.org/10.1103/physrevb.50.12711

Mertens, F. G. ; Wysin, G. ; Völkel, A. R. ; Bishop, A. R. ; Schnitzer, H. J.:
Cyclotron-Like Oscillations and Boundary Effects in the 2-Vortex Dynamics of Easy-Plane Magnets.
In: Spatschek, K. H. ; Mertens, F. G. (ed.): Nonlinear Coherent Structures in Physics and Biology : proceedings of a NATO Advanced Research Workshop on Nonlinear Coherent Structures in Physics and Biology, held June 1 - 4, 1993, in Bayreuth, Germany. - New York : Plenum Press, 1994 . - pp. 191-197 . - (NATO ASI Series : Series B, Physics ; 329 )
DOI: https://doi.org/10.1007/978-1-4899-1343-2_28

Wysin, G. M. ; Mertens, F. G. ; Völkel, A. R. ; Bishop, A. R.:
Mass and Momentum for Vortices in Two-Dimensional Easy-Plane Magnets.
In: Spatschek, K. H. ; Mertens, F. G. (ed.): Nonlinear Coherent Structures in Physics and Biology : proceedings of a NATO Advanced Research Workshop on Nonlinear Coherent Structures in Physics and Biology, held June 1 - 4, 1993, in Bayreuth, Germany. - New York : Plenum Press, 1994 . - pp. 177-186 . - (NATO ASI Series : Series B, Physics ; 329 )
DOI: https://doi.org/10.1007/978-1-4899-1343-2_26

Neuper, A. ; Mertens, F. G. ; Flytzanis, N.:
Quasicontinuum approximation and iterative method for envelope solitons in anharmonic chains.
In: Zeitschrift für Physik B Condensed Matter. Vol. 95 (1994) Issue 3 . - pp. 397-406.
DOI: https://doi.org/10.1007/BF01343968

Neuper, Andreas ; Gaididei, Yuri ; Flytzanis, Nikos ; Mertens, F. G.:
Solitons in atomic chains with long-range interactions.
In: Physics Letters A. Vol. 190 (1994) Issue 2 . - pp. 165-171.
DOI: https://doi.org/10.1016/0375-9601(94)90071-X

1993

Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
Dynamic Form Factors for Magnetic Langmuir-Blodgett Films of Manganese Stearate.
In: Verhandlungen der Deutschen Physikalischen Gesellschaft. 6. Reihe. Vol. 28 (1993) . - p. 1182.

Neuper, A. ; Mertens, F. G.:
Dynamic Form Factors for One-Dimensional Nonlinear Lattice Models.
In: Verhandlungen der Deutschen Physikalischen Gesellschaft. 6. Reihe. Vol. 28 (1993) . - p. 1769.

Schnitzer, H. J. ; Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R.:
Dynamic Vortex Solutions for the 2D Anisotropic Heisenberg Model.
In: Verhandlungen der Deutschen Physikalischen Gesellschaft. 6. Reihe. Vol. 28 (1993) . - pp. 1732-1733.

Mertens, F. G. ; Völkel, A. R. ; Wysin, G. M. ; Bishop, A. R. ; Schnitzer, H. J.:
Inertial Mass of Vortices in the 2D Anisotropic Heisenberg Model.
In: Verhandlungen der Deutschen Physikalischen Gesellschaft. 6. Reihe. Vol. 28 (1993) . - p. 1715.

Göhmann, F. ; Mertens, F. G.:
Semiclassical Quantisation of the Periodic Toda Chain.
In: Verhandlungen der Deutschen Physikalischen Gesellschaft. 6. Reihe. Vol. 28 (1993) . - p. 1767.

Göhmann, F. ; Pesch, W. ; Mertens, F. G.:
Semiclassical quantization of the periodic Toda chain.
In: Journal of Physics A: Mathematical and General. Vol. 26 (1993) Issue 24 . - pp. 7589-7613.
DOI: https://doi.org/10.1088/0305-4470/26/24/030

Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
Spin dynamics for 2d Heisenberg antiferromagnets with combined easy-plane and Dzyaloshinsky interactions.
In: Annalen der Physik. Vol. 505 (1993) Issue 3 . - pp. 308-319.
DOI: https://doi.org/10.1002/andp.19935050309

1992

Völkel, A. R. ; Bishop, A. R. ; Mertens, F. G. ; Wysin, G. M.:
Dynamics of vortices in quasi-two-dimensional classical Heisenberg magnets with weak easy-plane anisotropy.
In: Journal of Physics: Condensed Matter. Vol. 4 (1992) Issue 47 . - pp. 9411-9422.
DOI: https://doi.org/10.1088/0953-8984/4/47/021

Neuper, A. ; Mertens, F. G.:
Soliton Contribution to the Dynamic Form Factor for the Toda Lattice.
1992
Event: 18th IUPAP International Conference on Statistical Physics , 02.-08. Aug. 1992 , Berlin.
(Conference item: Conference , Paper )

Göhmann, F. ; Mertens, F. G.:
Time-dependent variational approach to solitons in the quantum Toda chain.
In: Journal of Physics A: Mathematical and General. Vol. 25 (1992) Issue 3 . - pp. 649-655.
DOI: https://doi.org/10.1088/0305-4470/25/3/021

Völkel, A. R. ; Mertens, F. G. ; Wysin, G. M. ; Bishop, A. R.:
Vortex dynamics in the classical two-dimensional antiferromagnetic XY model.
In: Journal of Magnetism and Magnetic Materials. Vol. 104/107 (1992) . - pp. 766-768.
DOI: https://doi.org/10.1016/0304-8853(92)90350-W

Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
Vortex Signatures in the Dynamical Correlation Functions of 2D Anisotropic Heisenberg Magnets.
1992
Event: 18th IUPAP International Conference on Statistical Physics , 02.-08. Aug. 1992 , Berlin.
(Conference item: Conference , Paper )

Mertens, F. G. ; Wysin, G. M. ; Völkel, A. R. ; Bishop, A. R.:
Vortex Statistical Mechanics for the 2-Dimensional Anisotropic Heisenberg Model.
1992
Event: 18th IUPAP International Conference on Statistical Physics , 02.-08. Aug. 1992 , Berlin.
(Conference item: Conference , Paper )

1991

Mertens, F. G. ; Völkel, A. ; Wysin, G. M. ; Bishop, A. R.:
Central peak signatures from vortices in 2D easy-plane antiferromagnets.
In: Remoissenet, M. ; Peyrard, M. (ed.): Nonlinear Coherent Structures in Physics and Biology : Proceedings of the 7th Interdisciplinary Workshop held at Dijon, France, 4–6 June 1991. - Berlin : Springer, 1991 . - pp. 15-22 . - (Lecture Notes in Physics ; 393 )
DOI: https://doi.org/10.1007/3-540-54890-4_149

Völkel, A. R. ; Wysin, G. M. ; Bishop, A. R. ; Mertens, F. G.:
Dynamic correlations in the classical two-dimensional antiferromagnetic Heisenberg model with easy-plane symmetry.
In: Physical Review B. Vol. 44 (1991) Issue 18 . - pp. 10066-10078.
DOI: https://doi.org/10.1103/physrevb.44.10066

Wysin, G. M. ; Mertens, F. G.:
Equations of motion for vortices in 2-D easy-plane magnets.
In: Remoissenet, M. ; Peyrard, M. (ed.): Nonlinear Coherent Structures in Physics and Biology : Proceedings of the 7th Interdisciplinary Workshop held at Dijon, France, 4–6 June 1991. - Berlin : Springer, 1991 . - pp. 1-14 . - (Lecture Notes in Physics ; 393 )
DOI: https://doi.org/10.1007/3-540-54890-4_148

Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
Motion of vortex pairs in the ferromagnetic and antiferromagnetic anisotropic Heisenberg model.
In: Physical Review B. Vol. 43 (1991) Issue 7 . - pp. 5992-6005.
DOI: https://doi.org/10.1103/PhysRevB.43.5992

Völkel, A. R. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
On the Motion of Vortex Pairs in the Anisotropic Heisenberg Model.
In: Bishop, A. R. ; Pokrovsky, V. L. ; Tognetti, V. (ed.): Microscopic Aspects of Nonlinearity in Condensed Matter : proceedings of a NATO Advanced Research Workshop on Microscopic Aspects of Nonlinearity in Condensed Matter. - New York : Plenium Press, 1991 . - p. 189 . - (NATO: Nato ASI series / B ; 264 )
DOI: https://doi.org/10.1007/978-1-4684-5961-6

1990

Gouvea, M. E. ; Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M.:
The classical two-dimensional XY model with in-plane magnetic field.
In: Journal of Physics: Condensed Matter. Vol. 2 (1990) Issue 7 . - pp. 1853-1868.
DOI: https://doi.org/10.1088/0953-8984/2/7/016

Völkel, A. ; Bishop, A. R. ; Mertens, F. G. ; Wysin, G. M.:
Dynamic Correlations in Classical 2D XY-Antiferromagnets.
1990
Event: Nonlinear science : the next decade , 21.-25. Mai 1990 , Los Alamos, USA.
(Conference item: Workshop , Paper )

Mertens, F. G.:
Dynamical Correlations from Anisotropic Vortices.
1990
Event: International Meeting on "Dynamics of Kosterlitz-Thouless Systems" , Tokio, Japan.
(Conference item: Other Event type, Speech )

Mertens, F. G. ; Hochstraßer, D.:
Solitons on a Diatomic Chain with Alternating Interactions.
In: Barthes, Mariette ; Léon, Jerome (ed.): Nonlinear Coherent Structures : Proceedings of the 6th Interdisciplinary Workshop on Nonlinear Coherent Structures in Physics, Mechanics, and Biological Systems Held at Montpellier, France, June 21–23, 1989. - Berlin : Springer, 1990 . - (Lecture Notes in Physics ; 353 )
DOI: https://doi.org/10.1007/BFb0033622

Göhmann, F. ; Mertens, F. G.:
Time Dependent Variational Approach to Solitons in the Quantum Toda Chain.
1990
Event: Interdisciplinary Meeting on Nonlinear Phenomena, RCP 264 , Montpellier, Frankreich.
(Conference item: Other Event type, Paper )

1989

Gouvea, M. E. ; Mertens, F. G. ; Wysin, G. M. ; Bishop, A. R.:
Classical Spin Dynamics in the Two-Dimensional Easy-Plane Models with In-Plane Symmetry Breaking.
1989
Event: 17th International Conference on Thermodynamics and Statistical Mechanics, Statphys 17 , 31.07.-04.08.1989 , Rio de Janeiro, Brasilien.
(Conference item: Conference , Paper )

Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M. ; Kawabata, C.:
Dynamical correlations from mobile vortices in two-dimensional easy-plane ferromagnets.
In: Physical Review B. Vol. 39 (1989) Issue 1 . - pp. 591-602.
DOI: https://doi.org/10.1103/PhysRevB.39.591

Hochstrasser, D. ; Mertens, F. G. ; Büttner, H.:
Energy transport by lattice solitons in α-helical proteins.
In: Physical Review A. Vol. 40 (1989) Issue 5 . - pp. 2602-2610.
DOI: https://doi.org/10.1103/PhysRevA.40.2602

Hochstrasser, D. ; Mertens, Franz ; Büttner, Helmut:
An iterative method for the calculation of narrow solitary excitations on atomic chains.
In: Physica D: Nonlinear Phenomena. Vol. 35 (1989) Issue 1/2 . - pp. 259-266.
DOI: https://doi.org/10.1016/0167-2789(89)90107-3

Gouvea, M. E. ; Wysin, G. M. ; Bishop, A. R. ; Mertens, F. G.:
Rb2CrCl4 : studies of a two-dimensional classical easy-plane Heisenberg model with in-plane symmetry breaking.
In: Journal of Physics: Condensed Matter. Vol. 1 (1989) Issue 27 . - pp. 4387-4398.
DOI: https://doi.org/10.1088/0953-8984/1/27/011

Gouva, M. E. ; Wysin, G. M. ; Bishop, A. R. ; Mertens, F. G.:
Vortices in the classical two-dimensional anisotropic Heisenberg model.
In: Physical Review B. Vol. 39 (1989) Issue 16 . - pp. 11840-11849.
DOI: https://doi.org/10.1103/PhysRevB.39.11840

1988

Wysin, G. M. ; Gouvea, M. E. ; Bishop, A. R. ; Mertens, F. G.:
Classical Spin Dynamics in the Two-Dimensional Anisotropic Heisenberg Model.
In: Landau, David P. ; Mon, Kin K. ; Schüttler, Heinz-Bernd (ed.): Computer Simulation Studies in Condensed Matter Physics : Recent Developments Proceeding of the Workshop, Athens, GA, USA, February 15–26, 1988. - Berlin : Springer, 1988 . - pp. 40-48 . - (Springer Proceedings in Physics ; 33 )
DOI: https://doi.org/10.1007/978-3-642-93400-1

Mertens, F. G. ; Bishop, A. R. ; Gouvea, M. E. ; Wysin, G. M.:
Dynamics of Unbound Vortices in the 2-Dimensional XY and Anisotropic Heisenberg Models.
In: Journal de Physique. Vol. 49 (1988) . - pp. 1385-1386.
DOI: https://doi.org/10.1051/jphyscol:19888635

Gruner-Bauer, P. ; Mertens, F. G.:
Excitation spectrum of the Toda lattice for finite temperatures.
In: Zeitschrift für Physik B Condensed Matter. Vol. 70 (1988) Issue 4 . - pp. 435-447.
DOI: https://doi.org/10.1007/BF01312117

Hader, M. ; Mertens, F. G.:
A Variational Method for Many-Body Systems Using a Separation into a Difference of Hamiltonians.
In: Europhysics Letters. Vol. 5 (1988) Issue 3 . - pp. 199-202.
DOI: https://doi.org/10.1209/0295-5075/5/3/003

1987

Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M. ; Kawabata, C.:
Dynamic Correlations in Two-Dimensional Easy-Plane Magnets.
In: Grosso, G. ; European Physical Society (ed.): 7th general conference of the Condensed Matter Division of the European Physical Society. - Geneva , 1987 . - p. 253 . - (Europhysics conference abstracts ; 11A )

Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M. ; Kawabata, C.:
How Vortices Produce Central Peaks in the Dynamic Form Factor of the 2-d Anisotropic Heisenberg Model.
In: XVI Reunión de Fisica Estadistica : Reuniones de inverno. - Oaxtepec, Mexico , 1987 . - p. 153 . - (Kinam : Revista de Fisica ; 8A )

Volltext
Bishop, A. R. ; Kawabata, C. ; Mertens, F. G. ; Wysin, G. M.:
Nonlinear Effects in Low-Dimensional Magnetism : Solitons and Vortices.
1987
Event: International Centre for Theoretical Physics , Juli 1987 , Triest, Italien.
(Conference item: Conference , Paper )

Mertens, F. G.:
Quantum Solitons in Atomic Chains.
1987
Event: Interdisciplinary Workshop "Solitons et Structures Cohérentes" , Grenoble, Frankreich.
(Conference item: Workshop , Speech )

Mertens, F. G. ; Hader, M.:
Toda solitons as Fermi-quasiparticles.
In: Zeitschrift für Physik B Condensed Matter. Vol. 69 (1987) Issue 1 . - pp. 121-127.
DOI: https://doi.org/10.1007/BF01560620

Mertens, F. G. ; Bishop, A. R. ; Wysin, G. M. ; Kawabata, C.:
Vortex signatures in dynamic structure factors for two-dimensional easy-plane ferromagnets.
In: Physical Review Letters. Vol. 59 (1987) Issue 1 . - pp. 117-120.
DOI: https://doi.org/10.1103/PhysRevLett.59.117

1986

Mertens, F. G. ; Büttner, Helmut:
Solitons on the Toda Lattice : Thermodynamical and Quantum-mechanical Aspects.
In: Trullinger, S. E. ; Zakharov, V. E. ; Pokrovsky, V. L. (ed.): Solitons. - Amsterdam : North-Holland, 1986 . - pp. 723-781 . - (Modern Problems in Condensed Matter Sciences ; 17 )
DOI: https://doi.org/10.1016/B978-0-444-87002-5.50021-7

Hader, M. ; Mertens, F. G.:
Thermodynamics of the quantum Toda lattice.
In: Journal of Physics A: Mathematical and General. Vol. 19 (1986) Issue 10 . - pp. 1913-1925.
DOI: https://doi.org/10.1088/0305-4470/19/10/032

1985

Mertens, F. G. ; Hader, Manfred:
Finite-temperature excitation spectrum of many-body systems solvable by the Bethe ansatz.
In: Physics Letters A. Vol. 112 (1985) Issue 6/7 . - pp. 309-312.
DOI: https://doi.org/10.1016/0375-9601(85)90347-0

Mertens, F. G.:
Lattice Dynamics and the Quantum Transfer-Integral Method.
In: Haberland, D. H. ; European Physical Society (ed.): 5th general conference of the Condensed Matter Division of the European Physical Society. - Berlin , 1985 . - (Europhysics conference abstracts ; 9A )

Mertens, F. G.:
Phonons in Linear Chain Models with Strongly Anharmonic Interactions.
In: Kollár, János ; Kroó, Norbert ; Menyhárd, N. ; Siklós, T. (ed.): Proceedings of the Second International Conference on Phonon Physics. - Singapore : World Scientific, 1985 . - pp. 744-746

Mertens, F. G. ; Hader, M.:
Solitons in the Quantum Toda Lattice.
In: Takeno, Shozo (ed.): Dynamical problems in soliton systems : proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27 - 31, 1984. - Berlin : Springer, 1985 . - (Springer series in synergetics ; 30 )

Hader, M. ; Mertens, F. G.:
Thermodynamics of the Quantum Toda Lattice.
In: Haberland, D. H. ; European Physical Society (ed.): 5th general conference of the Condensed Matter Division of the European Physical Society. - Berlin , 1985 . - (Europhysics conference abstracts ; 9A )

Mertens, F. G.:
Toda Solitons as Fermi Quasiparticles.
1985
Event: Interdisciplinary Workshop "Excitations Non-Linéaires", Centre national de la recherche scientifique , Nizza ; Cap d'Ail, Frankreich.
(Conference item: Workshop , Speech )

1984

Mertens, F. G.:
Bethe ansatz for the Toda lattice : Ground state and excitations.
In: Zeitschrift für Physik B Condensed Matter. Vol. 55 (1984) Issue 4 . - pp. 353-360.
DOI: https://doi.org/10.1007/BF01304087

1983

Mertens, F. G.:
Bethe Ansatz for the Toda Lattice.
1983
Event: XVth International Conference on Thermodynamics and Statistical Mechanics, Statphys 15 , Edinburgh, Großbritannien.
(Conference item: Conference , Paper )

Theodorakopoulos, N. ; Mertens, F. G.:
Dynamics of the Toda lattice : a soliton-phonon phase-shift analysis.
In: Physical Review B. Vol. 28 (1983) Issue 6 . - pp. 3512-3519.
DOI: https://doi.org/10.1103/PhysRevB.28.3512

Theodorakopoulos, N. ; Mertens, F. G.:
Dynamics of the Toda Lattice : a Soliton-Phonon Phase-Shift Analysis.
1983
Event: 3rd Conference of the Condensed Matter Division of European Physical Society , 28.-30. März. 1983 , Lausanne, Schweiz.
(Conference item: Conference , Paper )

1982

Mertens, F. G. ; Büttner, H.:
Dynamic correlations for the Toda lattice in the soliton-gas picture.
In: Journal of Physics A: Mathematical and General. Vol. 15 (1982) Issue 6 . - pp. 1831-1839.
DOI: https://doi.org/10.1088/0305-4470/15/6/023

Mertens, F. G. ; Büttner, H.:
Dynamic Correlations for the Toda Lattice in the Soliton-Gas Picture.
1982
Event: International Conference on Solitons in Real Systems , 17.-26. Jun. 1982 , Nizza ; Cargèse, Frankreich.
(Conference item: Conference , Paper )

Mertens, F. G.:
Path-Integral Approach to the Statistical Mechanics of Linear Chain Models.
1982
Event: Soliton Workshop , Los Angeles, USA.
(Conference item: Workshop , Speech )

Mertens, F. G.:
Soliton and Phonon Resonances in the Dynamic Form Factor for the Toda Lattice.
1982
Event: Soliton Workshop , Los Angeles, USA.
(Conference item: Workshop , Speech )

1981

Mertens, F. G. ; Büttner, H.:
The soliton-gas analogy for the Toda lattice.
In: Physics Letters A. Vol. 84 (1981) Issue 6 . - pp. 335-337.
DOI: https://doi.org/10.1016/0375-9601(81)90776-3

1980

Mertens, F. G. ; Büttner, H.:
Quantum-Mechanical Contributions to the Thermodynamics of Non-Linear Lattices.
In: Devreese, Jozef T. (ed.): 1980 annual conference : Condensed Matter Division, European Physical Society. - Geneva , 1980 . - p. 46 . - (Europhysics conference abstracts ; 3 G )

Mertens, F. G. ; Büttner, H.:
Quantum-Statistical Mechanics of a Linear Chain with Anharmonic Interactions.
1980
Event: XIVth International Conference on Thermodynamics and Statistical Mechanics, Statphys 14 , 17.-22. Aug. 1980 , Edmonton, Kanada.
(Conference item: Conference , Speech )

1979

Büttner, H. ; Mertens, F. G.:
Toda lattice : Statistical mechanics and solitons.
In: Solid State Communications. Vol. 29 (1979) Issue 9 . - pp. 663-665.
DOI: https://doi.org/10.1016/0038-1098(79)91197-9

Mertens, F. G.:
The Transfer-Integral Method for a Square Lattice of Helium Atoms.
1979
Event: Cooperative Phenomena in Two Dimensions , 20.-31. Aug. 1979 , Banff, Kanada.
(Conference item: Conference , Speech )

1978

Mertens, F. G. ; Biem, W.:
The three-dimensional transfer-integral method and its test by a harmonic crystal.
In: Zeitschrift für Physik B Condensed Matter. Vol. 30 (1978) Issue 4 . - pp. 415-421.
DOI: https://doi.org/10.1007/BF01321094

1977

Mertens, F. G. ; Biem, W.:
Generalization of the transfer-integral method for two- and three-dimensional crystals.
In: Physics Letters A. Vol. 62 (1977) Issue 3 . - pp. 181-182.
DOI: https://doi.org/10.1016/0375-9601(77)90019-6

Mertens, F. G.:
Self-consistent-phonon, random phase, and transfer-integral methods for a linear chain with anharmonic potential.
In: Journal of Low Temperature Physics. Vol. 27 (1977) Issue 3/4 . - pp. 579-591.
DOI: https://doi.org/10.1007/BF00655289

Mertens, F. G. ; Biem, W.:
The Transfer-Integral Method for Two- and Three-Dimensional Quantum Crystals.
In: Colorado State University (ed.): Proceedings of the 3rd International Quantum Crystals Conference. Section B. - Fort Collins, USA , 1977 . - pp. 22-26

1976

Mertens, F. G.:
Correlations and effective potential in the ground state of a one-dimensional model for solid helium and deuterium.
In: Journal of Low Temperature Physics. Vol. 22 (1976) Issue 5-6 . - pp. 653-663.
DOI: https://doi.org/10.1007/BF00659066

Mertens, F. G. ; Biem, Walter:
Dynamics of the linear chain with arbitrary potential applied to quantum crystals.
In: Journal of Low Temperature Physics. Vol. 24 (1976) Issue 3/4 . - pp. 379-395.
DOI: https://doi.org/10.1007/BF00655265

Mertens, F. G.:
Exakte Lösungen eines linearen Modells für Quantenkristalle.
Gießen , 1976 . - 86 p.
( Habilitation thesis, 1976 , Universität Gießen)

Mertens, F. G.:
Phonons in a linear chain with hard-core potentials of helium and deuterium.
In: Journal of Low Temperature Physics. Vol. 25 (1976) Issue 5/6 . - pp. 619-635.
DOI: https://doi.org/10.1007/BF00657287

1975

Mertens, F. G.:
Exact solutions of a linear model of quantum solids.
In: Journal of Low Temperature Physics. Vol. 21 (1975) Issue 1-2 . - pp. 75-89.
DOI: https://doi.org/10.1007/BF01141290

Mertens, F. G.:
Short-Range and Long-Range Correlations in the Ground State of a One-Dimensional Quantum Crystal Model.
In: Krusius, Matti ; Vuorio, Matti (ed.): Proceedings of the 14th International Conference on Low Temperature Physics. Band 1. Helium. - Amsterdam : North-Holland, 1975 . - p. 467

1974

Bickermann, A. ; Biem, W. ; Mertens, F. G.:
Incoherent neutron scattering by the phonon-libron system in solid ortho-hydrogen.
In: Zeitschrift für Physik A Hadrons and nuclei. Vol. 267 (1974) Issue 1 . - pp. 31-39.
DOI: https://doi.org/10.1007/BF01680359

Bickermann, A. ; Mertens, F. G. ; Biem, W.:
Scattering of Neutrons by Phonons and Librons in Solid o-Hydrogen.
In: Timmerhaus, Klaus D. (ed.): Low temperature physics : Proceedings of the 13. International Conference on Low Temperature Physics. Band 2. Quantum crystals and magnetism. - New York : Plenum Press, 1974

1972

Mertens, F. G.:
Ground state calculations for solid hydrogen and deuterium.
In: Zeitschrift für Physik A Hadrons and nuclei. Vol. 250 (1972) Issue 1 . - pp. 1-13.
DOI: https://doi.org/10.1007/BF01386888

Mertens, F. G. ; Biem, Walter:
Phonons and librons in solid hydrogen and deuterium.
In: Zeitschrift für Physik A Hadrons and nuclei. Vol. 250 (1972) Issue 4 . - pp. 273-292.
DOI: https://doi.org/10.1007/BF01395050

1971

Biem, W. ; Mertens, F. G.:
Phonon-Libron Coupling in Solid Hydrogen.
In: Nusimovici, M. A. (ed.): Phonons : proceedings of the 1st International Conference on Phonons. - Paris : Flammarion, 1971

Volltext
Mertens, F. G.:
Phonons and librons in solid hydrogen and deuterium.
Jülich : Zentralbibliothek der Kernforschungsanlage , 1971 . - 100, 9 p. - (Berichte der Kernforschungsanlage Jülich ; 734 )

Biem, W. ; Mertens, F. G.:
Phonons and librons in solid hydrogen and deuterium.
In: Kanda, Eizo (ed.): Proceedings of the twelfth International Conference on Low Temperature Physics. - Tokyo : Academic Press of Japan, 1971

1969

Mertens, F. G. ; Biem, W.:
Lattice Dynamics of Solid Ortho-Hydrogen.
1969
Event: 1st International Conference on Quantum Crystals , Aspen, USA.
(Conference item: Conference , Speech )

Mertens, F. G. ; Biem, W. ; Hahn, H.:
Random phase approximation of angular momentum waves in solid Ortho-hydrogen.
In: Zeitschrift für Physik A Hadrons and nuclei. Vol. 220 (1969) Issue 1 . - pp. 1-5.
DOI: https://doi.org/10.1007/BF01394406

1968

Biem, W. ; Hahn, H. ; Mertens, F. G.:
Angular Momentum Waves in Solid Ortho-Hydrogen.
In: Allen, J. F. ; Finlayson, D. M. (ed.): Proceedings of the Eleventh International Conference on Low Temperature Physics. Band 1. - St. Andrews : University Press., 1968

Volltext
Mertens, F. G.:
Drehimpulswellen in festem Orthowasserstoff.
Jülich : Zentralbibliothek der Kernforschungsanlage , 1968 . - 109, XXIV p. - (Berichte der Kernforschungsanlage Jülich ; 564 )

Mertens, F. G. ; Biem, W. ; Hahn, H.:
Theory of angular momentum waves in solid ortho-hydrogen.
In: Zeitschrift für Physik A Hadrons and nuclei. Vol. 213 (1968) Issue 1 . - pp. 33-45.
DOI: https://doi.org/10.1007/BF01380025

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