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Comparative study of force-based classical density functional theory

Titelangaben

Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias:
Comparative study of force-based classical density functional theory.
In: Physical Review E. Bd. 107 (2023) . - 034109.
ISSN 2470-0053
DOI: https://doi.org/10.1103/PhysRevE.107.034109

Abstract

We reexamine results obtained with the recently proposed density functional theory framework based on forces (force-DFT) [S. M. Tschopp et al., Phys. Rev. E 106, 014115 (2022)]. We compare inhomogeneous density profiles for hard sphere fluids to results from both standard density functional theory and from computer simulations. Test situations include the equilibrium hard sphere fluid adsorbed against a planar hard wall and the dynamical relaxation of hard spheres in a switched harmonic potential. The comparison to grand canonical Monte Carlo simulation profiles shows that equilibrium force-DFT alone does not improve upon results obtained with the standard Rosenfeld functional. Similar behavior holds for the relaxation dynamics, where we use our event-driven Brownian dynamics data as benchmark. Based on an appropriate linear combination of standard and force-DFT results, we investigate a simple hybrid scheme which rectifies these deficiencies in both the equilibrium and the dynamical case. We explicitly demonstrate that although the hybrid method is based on the original Rosenfeld fundamental measure functional, its performance is comparable to that of the more advanced White Bear theory.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut > Lehrstuhl Theoretische Physik II > Lehrstuhl Theoretische Physik II - Univ.-Prof. Dr. Matthias Schmidt
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik
500 Naturwissenschaften und Mathematik > 530 Physik
Eingestellt am: 27 Mai 2024 11:16
Letzte Änderung: 27 Mai 2024 11:16
URI: https://eref.uni-bayreuth.de/id/eprint/89622