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Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

  • We investigate the ensemble and time averaged mean squared displacements for particle diffusion in a simple model for disordered media by assuming that the local diffusivity is both fluctuating in time and has a deterministic average growth or decay in time. In this study we compare computer simulations of the stochastic Langevin equation for this random diffusion process with analytical results. We explore the regimes of normal Brownian motion as well as anomalous diffusion in the sub- and superdiffusive regimes. We also consider effects of the inertial term on the particle motion. The investigation of the resulting diffusion is performed for unconfined and confined motion.

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Metadaten
Author details:Andrey G. CherstvyORCiD, Ralf MetzlerORCiDGND
DOI:https://doi.org/10.1039/C6CP03101C
ISSN:1463-9084
ISSN:1463-9076
Title of parent work (English):Physical chemistry, chemical physics : PCCP ; a journal of European chemical societies
Publisher:RSC Publ.
Place of publishing:Cambridge
Publication type:Article
Language:English
Date of first publication:2016/08/08
Publication year:2016
Publishing institution:Universität Potsdam
Release date:2016/09/16
Volume:18
First page:23840
Last Page:23852
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 54 Chemie / 540 Chemie und zugeordnete Wissenschaften
Peer review:Referiert
Publishing method:Open Access
Grantor:RSC
License (English):License LogoCreative Commons - Namensnennung 3.0 Unported
External remark:Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 257
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