Relaxation times of non-Markovian processes

J. Casademunt, R. Mannella, P. V. E. McClintock, F. E. Moss, and J. M. Sancho
Phys. Rev. A 35, 5183 – Published 1 June 1987
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Abstract

We consider a general class of non-Markovian processes defined by stochastic differential equations with Ornstein-Uhlenbeck noise. We present a general formalism to evaluate relaxation times associated with correlation functions in the steady state. This formalism is a generalization of a previous approach for Markovian processes. The theoretical results are shown to be in satisfactory agreement both with experimental data for a cubic bistable system and also with a computer simulation of the Stratonovich model. We comment on the dynamical role of the non-Markovianicity in different situations.

  • Received 17 November 1986

DOI:https://doi.org/10.1103/PhysRevA.35.5183

©1987 American Physical Society

Authors & Affiliations

J. Casademunt

  • Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain

R. Mannella and P. V. E. McClintock

  • Department of Physics, University of Lancaster, Lancaster, LA14YB, United Kingdom

F. E. Moss

  • Department of Physics, University of MissouriSt. Louis, Missouri 63121

J. M. Sancho

  • Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain

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Vol. 35, Iss. 12 — June 1987

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