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Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster"

Title data

Völkel, Simeon ; Hartung, Stefan ; Rehberg, Ingo:
Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster".
In: Journal of Magnetism and Magnetic Materials. Vol. 559 (2022) . - No. 169520.
ISSN 0304-8853
DOI: https://doi.org/10.1016/j.jmmm.2022.169520

Official URL: Volltext

Abstract in another language

In the paper “Smith et al. (2022)” a hysteretic transition between two stable arrangements of a cluster of seven dipoles is presented. The relative strength of the center dipole in a hexagonal arrangement serves as the bifurcation parameter. The authors clearly demonstrate the existence of two instabilities accompanied by discontinuous jumps of the dipole arrangement, but leave the question about the nature of these instabilities unanswered. This comment clarifies the nature of the two instabilities: the first one is a symmetry-breaking sub-critical bifurcation with parabolic scaling of the magnetic potential energy difference between the two branches, and the second one is a fold with its characteristic scaling in the form of a semi-cubic parabola.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Magnetostatics; Bifurcation; Hysteresis; Subcritical bifurcation; Relaxation code; Fold; Cusp catastrophe; Toroidal magnetic moment
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 14 Jun 2022 07:23
Last Modified: 07 Jul 2022 07:26
URI: https://eref.uni-bayreuth.de/id/eprint/70082