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arXiv · 0909.0733

Non-Markovian Random Walks and Non-Linear Reactions: Subdiffusion and Propagating Fronts

Sergei Fedotov
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Abstract

We propose a reaction-transport model for CTRW with non-linear reactions and non-exponential waiting time distributions. We derive non-linear evolution equation for mesoscopic density of particles. We apply this equation to the problem of fronts propagation into unstable state of reaction-transport systems with anomalous diffusion. We have found an explicit expression for the speed of propagating front in the case of subdiffusion transport.

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BibTeXRIS

Sergei Fedotov. 2009-09-03. Non-Markovian Random Walks and Non-Linear Reactions: Subdiffusion and Propagating Fronts. https://doi.org/10.1103/physreve.81.011117

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