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The Dynamics of Nonequilibrium Transitions Induced By the Cross-Correlated Noises: Numerical Results

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Author(s): A.N. Vitrenko | I.A. Knyaz’ | V.S. Budeniy | D.O. Lytvynenko

Journal: Journal of Nano- and Electronic Physics
ISSN 2077-6772

Volume: 2;
Issue: 3;
Date: 2010;
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Keywords: Langevin Equation | Cross-Correlated White Noises | Monte Carlo Method | Proability Distribution Function | Noise-Induced Transitions

ABSTRACT
The dynamic system described by the Langevin equation with two cross-correlated Gaussian white noises is considered. The non-equilibrium probability distribution function of the system is calculated by the numerical methods. The time of change of the initially unimodal distribution to the bimodal one is determined for different values of the control parameter. A critical slowing down in the transition dynamics is demonstrated.
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