Reaction spreading on percolating clusters
Abstract
Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two different problems are addressed: reaction spreading on a percolating cluster and front propagation through a percolating channel. For reaction spreading, numerical data and analytical estimates show a power-law behavior of the reaction product as M(t) \sim t^dl, where dl is the connectivity dimension. In a percolating channel, a statistically stationary traveling wave develops. The speed and the width of the traveling wave are numerically computed. While the front speed is a low-fluctuating quantity and its behavior can be understood using a simple theoretical argument, the front width is a high-fluctuating quantity showing a power-law behavior as a function of the size of the channel
Cite
@article{arxiv.1306.6781,
title = {Reaction spreading on percolating clusters},
author = {Federico Bianco and Sergio Chibbaro and Davide Vergni and Angelo Vulpiani},
journal= {arXiv preprint arXiv:1306.6781},
year = {2013}
}
Comments
7 pages, 8 figures