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Relaxation times of non-Markovian processes

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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.

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CASADEMUNT I VIADER, Jaume, et al. Relaxation times of non-Markovian processes. Physical Review A. 1987. Vol. 35, num. 12, pags. 5183-5190. ISSN 1050-2947. [consulted: 25 of May of 2026]. Available at: https://hdl.handle.net/2445/9423

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