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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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Author:Andrey G. Cherstvy, Ralf MetzlerORCiDGND
Series (Serial Number):Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (257)
Document Type:Postprint
Date of first Publication:2016/08/08
Year of Completion:2016
Publishing Institution:Universität Potsdam
Release Date:2016/09/16
First Page:23840
Last Page:23852
Source:Phys. Chem. Chem. Phys. (2016) Nr. 18, S. 23840-23852. - DOI: 10.1039/C6CP03101C
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 54 Chemie / 540 Chemie und zugeordnete Wissenschaften
Peer Review:Referiert
Publication Way:Open Access
Licence (English):License LogoCreative Commons - Attribution 3.0 unported
Notes extern:Bibliographieeintrag der Originalveröffentlichung/Quelle