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

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

2009-09-03

arxiv.org/abs/0909.0733v3

Phys. Rev. E 2010, vol. 81, Issue 1

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

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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