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

Author(s) A.N. Vitrenko , I.A. Knyaz’ , V.S. Budeniy, D.O. Lytvynenko
Affiliations Sumy State University, 2, Rimsky-Korsakov Str., 40007 Sumy, Ukraine
Issue Volume 2, Year 2010, Number 3
Dates Received 02.09.2010, in final form - 30.09.2010
Citation A.N. Vitrenko, I.A. Knyaz’, V.S. Budeniy, D.O. Lytvynenko, J. Nano- Electron. Phys. 2 No3, 63 (2010)
PACS Number(s) 05.70.Fh, 05.40. – a, 05.10.Gg
Key words Langevin equation, Cross-correlated white noises, Monte Carlo method (2) , Probability distribution function, Noise-induced transitions.
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.