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© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

The diffusion of small particles is omnipresent in many processes occurring in nature. As such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a broad and often rather complex subject of exploration that we opt here to narrow our survey to the case of the diffusion coefficient for a Brownian particle that can be modeled in the framework of Langevin dynamics. Our main focus centers on the temperature dependence of the diffusion coefficient for several fundamental models of diverse physical systems. Starting out with diffusion in equilibrium for which the Einstein theory holds, we consider a number of physical situations outside of free Brownian motion and end by surveying nonequilibrium diffusion for a time-periodically driven Brownian particle dwelling randomly in a periodic potential. For this latter situation the diffusion coefficient exhibits an intriguingly non-monotonic dependence on temperature.

Details

Title
Diffusion Coefficient of a Brownian Particle in Equilibrium and Nonequilibrium: Einstein Model and Beyond
Author
Spiechowicz, Jakub 1   VIAFID ORCID Logo  ; Marchenko, Ivan G 2   VIAFID ORCID Logo  ; Hänggi, Peter 3   VIAFID ORCID Logo  ; Łuczka, Jerzy 1   VIAFID ORCID Logo 

 Institute of Physics, University of Silesia in Katowice, 41-500 Chorzów, Poland 
 Institute of Physics, University of Silesia in Katowice, 41-500 Chorzów, Poland; Kharkiv Institute of Physics and Technology, 61108 Kharkiv, Ukraine; Education and Research Institute of Computer Physics and Energy, Karazin Kharkiv National University, 61022 Kharkiv, Ukraine 
 Institute of Physics, University of Augsburg, 86135 Augsburg, Germany; Max-Planck Institute for Physics of Complex Systems, 01187 Dresden, Germany 
First page
42
Publication year
2023
Publication date
2023
Publisher
MDPI AG
e-ISSN
10994300
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2767207776
Copyright
© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.