Authors | A.N. Vitrenko , I.A. Knyaz’ , V.S. Budeniy, D.O. Lytvynenko |
Affiliations | Sumy State University, 2, Rimsky-Korsakov Str., 40007 Sumy, Ukraine |
Е-mail | vitrenko_andrei@mail.ru |
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) |
DOI | |
PACS Number(s) | 05.70.Fh, 05.40. – a, 05.10.Gg |
Keywords | Langevin equation, Cross-correlated white noises, Monte Carlo method (4) , Probability distribution function, Noise-induced transitions. |
Annotation |
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. |
List of References |