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.
Author details: | Andrey G. CherstvyORCiDGND, Ralf MetzlerORCiDGND |
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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): | Creative Commons - Namensnennung 3.0 Unported |
External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 257 |