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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Detalhes bibliográficos
Autores: Santos, Miguel A., Sancho, José M.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18728
Acesso em linha:https://hdl.handle.net/2445/18728
Access Level:acceso abierto
Palavra-chave:Física estadística
Física matemàtica
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Mathematical physics
Thermodynamics
Differentiable dynamical systems
Descrição
Resumo: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.