Normal versus anomalous self-diffusion in two-dimensional fluids: memory function approach and generalized asymptotic Einstein relation

Normal versus anomalous self-diffusion in two-dimensional fluids: memory function approach and generalized asymptotic Einstein relation

Based on the generalized Langevin equation for the momentum of a Brownian particle a generalized asymptotic Einstein relation is derived. It agrees with the well-known Einstein relation in the case of normal diffusion but continues to hold for sub- and super-diffusive spreading of the Brownian parti...

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Veröffentlicht in:The Journal of chemical physics 2014-12, Vol.141 (21), p.214112-214112
Hauptverfasser: Shin, Hyun Kyung, Choi, Bongsik, Talkner, Peter, Lee, Eok Kyun
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Sprache:eng
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Asymptotic properties
Brownian motion
Molecular dynamics
Self diffusion
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container_title The Journal of chemical physics
container_volume 141
creator Shin, Hyun Kyung
Choi, Bongsik
Talkner, Peter
Lee, Eok Kyun
description Based on the generalized Langevin equation for the momentum of a Brownian particle a generalized asymptotic Einstein relation is derived. It agrees with the well-known Einstein relation in the case of normal diffusion but continues to hold for sub- and super-diffusive spreading of the Brownian particle's mean square displacement. The generalized asymptotic Einstein relation is used to analyze data obtained from molecular dynamics simulations of a two-dimensional soft disk fluid. We mainly concentrated on medium densities for which we found super-diffusive behavior of a tagged fluid particle. At higher densities a range of normal diffusion can be identified. The motion presumably changes to sub-diffusion for even higher densities.
doi_str_mv 10.1063/1.4902409
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source AIP Journals Complete; Alma/SFX Local Collection
subjects Asymptotic properties
Brownian motion
Molecular dynamics
Self diffusion
title Normal versus anomalous self-diffusion in two-dimensional fluids: memory function approach and generalized asymptotic Einstein relation
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