Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations
Statistical Mechanics
2009-11-13 v1
Abstract
We formulate the generalized master equation for a class of continuous time random walks in the presence of a prescribed deterministic evolution between successive transitions. This formulation is exemplified by means of an advection-diffusion and a jump-diffusion scheme. Based on this master equation, we also derive reaction-diffusion equations for subdiffusive chemical species, using a mean field approximation.
Cite
@article{arxiv.0809.1313,
title = {Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations},
author = {S. Eule and R. Friedrich and F. Jenko and I. M. Sokolov},
journal= {arXiv preprint arXiv:0809.1313},
year = {2009}
}