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arXiv · 0809.1313

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

S. Eule·R. Friedrich·F. Jenko·I. M. Sokolov
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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.

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S. Eule, R. Friedrich, F. Jenko, I. M. Sokolov. 2008-09-08. Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations. https://doi.org/10.1103/physreve.78.060102

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