PMID: 11909023Mar 23, 2002Paper

Spatial behavior of anomalous transport

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gennady Margolin, Brian Berkowitz

Abstract

We present a general derivation of one-dimensional spatial concentration distributions for anomalous transport regimes. Such transport can be captured in the framework of a continuous time random walk with a broad transition time distribution. This general theory includes a Fokker-Planck equation as a particular limiting case. All of the concentration profiles, as well as the associated temporal first passage time distributions, can be written in terms of a single special function (that belongs to the class of Fox functions). In addition, we consider the first two moments of the spatial concentration distributions, and determine not only their scaling behavior with time but also the coefficients and correction terms.

Citations

Jun 20, 2003·Journal of Contaminant Hydrology·Melissa Levy, Brian Berkowitz
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marco Dentz, Brian Berkowitz
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Zoia
Jun 20, 2019·Physical Review. E·Takuma Akimoto, Keiji Saito
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthew E Rhodes, Martin J Blunt
Jan 15, 2011·Physical Review Letters·Marco Dentz, Diogo Bolster
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Miquel Montero
Jan 8, 2021·Physical Review Letters·Wanli Wang, Eli Barkai
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Miquel Montero, Javier Villarroel
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marco DentzTanguy Le Borgne
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Miquel Montero, Javier Villarroel

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