Non-Markovian Random Walks and Non-Linear Reactions: Subdiffusion and Propagating Fronts
Statistical Mechanics
2015-05-14 v3 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.0909.0733,
title = {Non-Markovian Random Walks and Non-Linear Reactions: Subdiffusion and Propagating Fronts},
author = {Sergei Fedotov},
journal= {arXiv preprint arXiv:0909.0733},
year = {2015}
}
Comments
7 pages