Phys. Rev. E 72, 031110 (2005) [12 pages]Exact effective transport dynamics in a one-dimensional random environmentSee Also: Erratum Received 12 April 2005; revised 7 June 2005; published 28 September 2005 We study effective transport under linear equilibrium adsorption characterized by a spatially random retardation factor. In a stochastic framework, we present a methodology to quantify explicitly the impact of spatial disorder on effective transport dynamics. We derive an exact effective transport equation, which is equivalent to transport under linear kinetic adsorption characterized by a spectrum of adsorption times. The distribution of adsorption times is given explicitly in terms of the spatial disorder distribution. Furthermore, we find that effective transport is formally equivalent to a decoupled continuous time random walk. This observation and the explicit nature of the presented results allow for a mapping of the static disorder distribution on the transition time distribution. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.031110
DOI:
10.1103/PhysRevE.72.031110
PACS:
05.40.Fb, 05.60.−k, 02.50.−r
See AlsoErratum: Marco Dentz and Brian Berkowitz, Erratum: Exact effective transport dynamics in a one-dimensional random environment [Phys. Rev. E 72, 031110 (2005)], Phys. Rev. E 81, 059901 (2010). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.