Home > Research > Publications & Outputs > Non-equilibrium distributions at finite noise i...

Research

Links

Text available via DOI:

Keywords

View graph of relations

Non-equilibrium distributions at finite noise intensity

Research output: Contribution to Journal/Magazine › Conference article › peer-review

Published

Standard

Non-equilibrium distributions at finite noise intensity. / Bandrivskyy, A.; Beri, S.; Luchinsky, D. G.
In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 5114, 19.09.2003, p. 94-101.

Research output: Contribution to Journal/Magazine › Conference article › peer-review

Harvard

Bandrivskyy, A, Beri, S & Luchinsky, DG 2003, 'Non-equilibrium distributions at finite noise intensity', Proceedings of SPIE - The International Society for Optical Engineering, vol. 5114, pp. 94-101. https://doi.org/10.1117/12.488981

APA

Bandrivskyy, A., Beri, S., & Luchinsky, D. G. (2003). Non-equilibrium distributions at finite noise intensity. Proceedings of SPIE - The International Society for Optical Engineering, 5114, 94-101. https://doi.org/10.1117/12.488981

Vancouver

Bandrivskyy A, Beri S, Luchinsky DG. Non-equilibrium distributions at finite noise intensity. Proceedings of SPIE - The International Society for Optical Engineering. 2003 Sept 19;5114:94-101. doi: 10.1117/12.488981

Author

Bandrivskyy, A. ; Beri, S. ; Luchinsky, D. G. / Non-equilibrium distributions at finite noise intensity. In: Proceedings of SPIE - The International Society for Optical Engineering. 2003 ; Vol. 5114. pp. 94-101.

Bibtex

@article{1f37bf33365f47ed83212f1ffe810371,
title = "Non-equilibrium distributions at finite noise intensity",
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.",
keywords = "Fokker-Planck equation, Non-equilibrium fluctuations, Optimal paths",
author = "A. Bandrivskyy and S. Beri and Luchinsky, {D. G.}",
year = "2003",
month = sep,
day = "19",
doi = "10.1117/12.488981",
language = "English",
volume = "5114",
pages = "94--101",
journal = "Proceedings of SPIE - The International Society for Optical Engineering",
issn = "0277-786X",
publisher = "SPIE",
note = "Noise in Complex Systems and Stochastic Dynamics ; Conference date: 02-06-2003 Through 04-06-2003",

}

RIS

TY - JOUR

T1 - Non-equilibrium distributions at finite noise intensity

AU - Bandrivskyy, A.

AU - Beri, S.

AU - Luchinsky, D. G.

PY - 2003/9/19

Y1 - 2003/9/19

N2 - 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.

AB - 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.

KW - Fokker-Planck equation

KW - Non-equilibrium fluctuations

KW - Optimal paths

U2 - 10.1117/12.488981

DO - 10.1117/12.488981

M3 - Conference article

AN - SCOPUS:0041823463

VL - 5114

SP - 94

EP - 101

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

T2 - Noise in Complex Systems and Stochastic Dynamics

Y2 - 2 June 2003 through 4 June 2003

ER -