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Colored noise in Spatially-Extended Systems

1993/10/29 by Jordi Garcia-Ojalvo, Jordi García‐Ojalvo, J. M. Sancho +1 · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Theoretical and Computational Physics #cond-mat #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.49.2769

19 pages (REVTEX 3.0), 9 figures appended or available upon request to [email protected]

arxiv created 1993/10/29 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

Citations

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