Non-equilibrium distributions at finite noise intensity

被引：1
|
作者：
Bandrivskyy, A [1 ]
Beri, S [1 ]
Luchinsky, DG [1 ]
机构：
[1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
来源：
NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS | 2003年 / 5114卷
关键词：
non-equilibrium fluctuations; Fokker-Planck equation; optimal paths;
D O I：
10.1117/12.488981
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The non-equilibrium distribution in dissipative dynamical systems with unstable limit cycle is analyzed in the next-to-leading order of the small-noise approximation of the Fokker-Planck equation. The noise-induced variations of the non-equilibrium distribution are described in terms of topological changes in the pattern of optimal paths. It is predicted that singularities in the pattern of optimal paths are shifted and cross the basin boundary in the presence of finite noise. As a result the probability distribution oscillates at the basin boundary. Theoretical predictions are in good agreement with the results of numerical solution of the Fokker-Planck equation and Monte Carlo simulations.
引用
收藏
页码：94 / 101
页数：8
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