Jump to main content
Jump to site search

Issue 34, 2016
Previous Article Next Article

Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

Author affiliations

Abstract

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.

Graphical abstract: Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

Back to tab navigation

Publication details

The article was received on 08 May 2016, accepted on 08 Aug 2016 and first published on 08 Aug 2016


Article type: Paper
DOI: 10.1039/C6CP03101C
Citation: Phys. Chem. Chem. Phys., 2016,18, 23840-23852
  • Open access: Creative Commons BY license
  •   Request permissions

    Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

    A. G. Cherstvy and R. Metzler, Phys. Chem. Chem. Phys., 2016, 18, 23840
    DOI: 10.1039/C6CP03101C

    This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. Material from this article can be used in other publications provided that the correct acknowledgement is given with the reproduced material.

    Reproduced material should be attributed as follows:

    • For reproduction of material from NJC:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the Centre National de la Recherche Scientifique (CNRS) and the RSC.
    • For reproduction of material from PCCP:
      [Original citation] - Published by the PCCP Owner Societies.
    • For reproduction of material from PPS:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the European Society for Photobiology, the European Photochemistry Association, and RSC.
    • For reproduction of material from all other RSC journals:
      [Original citation] - Published by The Royal Society of Chemistry.

    Information about reproducing material from RSC articles with different licences is available on our Permission Requests page.

Search articles by author

Spotlight

Advertisements