Fronts dynamics in the presence of spatio-temporal structured noises

Details Fronts dynamics in the presence of spatio-temporal structured noises Fronts dynamics in the presence of spatio-temporal structured noises

2001-05-16

arxiv.org/abs/cond-mat/0105328v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures; REVTEX; to be published in Phys.Rev.E, july 2001

Scientific paper

10.1103/PhysRevE.64.016129

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.

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