Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations

Details Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations

2008-09-08

arxiv.org/abs/0809.1313v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.78.060102

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.

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