Fronts dynamics in the presence of spatio-temporal structured noises
Statistical Mechanics
2009-11-07 v1 Soft Condensed Matter
Abstract
Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatio-temporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time and correlation length appear explicitely. The different effects of these parameters are discussed for the Ginzburg-Landau and Schl\"ogl models. We obtain an analytical expression for the front velocity as a function of the noise parameters. Numerical simulations results are in a good agreement with the theoretical predictions.
Keywords
Cite
@article{arxiv.cond-mat/0105328,
title = {Fronts dynamics in the presence of spatio-temporal structured noises},
author = {Miguel A. Santos and J. M. Sancho},
journal= {arXiv preprint arXiv:cond-mat/0105328},
year = {2009}
}
Comments
11 pages, 6 figures; REVTEX; to be published in Phys.Rev.E, july 2001