Colored noise in Spatially-Extended Systems
Jordi Garcia-Ojalvo (Universitat Politecnica de Catalunya), Jose M., Sancho (Universitat de Barcelona)
TL;DR
This paper investigates how spatially and temporally correlated colored noise influences the steady states of a Ginzburg-Landau model, revealing phase transitions driven by noise correlations through simulations and theoretical analysis.
Contribution
It introduces a theoretical approximation to derive the steady probability density and demonstrates the impact of noise correlations on phase transitions in the model.
Findings
Noise correlation time and length control phase transitions
Existence of nonequilibrium phase transitions due to colored noise
Theoretical approximation matches simulation results
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.
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