Colored noise in spatially extended systems

We study the effects of time and space correlations of an external additive colored noise on the steady-state behavior of a time-dependent Ginzburg-Landau model. Simulations show the existence of nonequilibrium phase transitions controlled by both the correlation time and length of the noise. A Fokk...

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Bibliographic Details
Authors: García Ojalvo, Jordi; Sancho, José M.
Format: Article
Status:Published version
Publication date:1994
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18758
Online Access:https://hdl.handle.net/2445/18758
Access Level:Open access
Keyword:Física matemàtica
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Mathematical physics
Statistical physics
Thermodynamics
Differentiable dynamical systems
Description
Summary:We study the effects of time and space correlations of an external additive colored noise on the steady-state behavior of a time-dependent Ginzburg-Landau model. Simulations show the existence of nonequilibrium phase transitions controlled by both the correlation time and length of the noise. A Fokker-Planck equation and the steady probability density of the process are obtained by means of a theoretical approximation.