Non-equilibrium distributions at finite noise intensity

Bandrivskyy, A. and Beri, S. and Luchinsky, D. G. (2003) Non-equilibrium distributions at finite noise intensity. Proceedings of SPIE - The International Society for Optical Engineering, 5114. pp. 94-101. ISSN 0277-786X

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Abstract

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.

Item Type: Journal Article
Journal or Publication Title: Proceedings of SPIE - The International Society for Optical Engineering
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 133853
Deposited By: ep_importer_pure
Deposited On: 20 May 2019 09:05
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 12:00
URI: https://eprints.lancs.ac.uk/id/eprint/133853

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