Front dynamics in the presence of spatio-temporal structured noises

Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatiotemporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time, and correlation length appear explicitly. The different effects...

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Bibliographic Details
Authors: Santos, Miguel A., Sancho, José M.
Format: article
Status:Published version
Publication Date:2001
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18728
Online Access:https://hdl.handle.net/2445/18728
Access Level:Open access
Keyword:Física estadística
Física matemàtica
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Mathematical physics
Thermodynamics
Differentiable dynamical systems
Description
Summary:Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatiotemporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time, and correlation length appear explicitly. The different effects of these parameters are discussed for the Ginzburg-Landau and Schlögl models. We obtain an analytical expression for the front velocity as a function of the noise parameters. Numerical simulation results are in a good agreement with the theoretical predictions.