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Relaxation times of non-Markovian processes.

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Relaxation times of non-Markovian processes. / Casademunt, J.; Mannella, R.; McClintock, Peter V. E.
In: Physical review a, Vol. 35, No. 12, 06.1987, p. 5183-5190.

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

Harvard

Casademunt, J, Mannella, R & McClintock, PVE 1987, 'Relaxation times of non-Markovian processes.', Physical review a, vol. 35, no. 12, pp. 5183-5190. https://doi.org/10.1103/PhysRevA.35.5183

APA

Casademunt, J., Mannella, R., & McClintock, P. V. E. (1987). Relaxation times of non-Markovian processes. Physical review a, 35(12), 5183-5190. https://doi.org/10.1103/PhysRevA.35.5183

Vancouver

Casademunt J, Mannella R, McClintock PVE. Relaxation times of non-Markovian processes. Physical review a. 1987 Jun;35(12):5183-5190. doi: 10.1103/PhysRevA.35.5183

Author

Casademunt, J. ; Mannella, R. ; McClintock, Peter V. E. / Relaxation times of non-Markovian processes. In: Physical review a. 1987 ; Vol. 35, No. 12. pp. 5183-5190.

Bibtex

@article{a4a2eebcf81b4957a9054c7acfdef742,
title = "Relaxation times of non-Markovian processes.",
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.",
author = "J. Casademunt and R. Mannella and McClintock, {Peter V. E.}",
year = "1987",
month = jun,
doi = "10.1103/PhysRevA.35.5183",
language = "English",
volume = "35",
pages = "5183--5190",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "12",

}

RIS

TY - JOUR

T1 - Relaxation times of non-Markovian processes.

AU - Casademunt, J.

AU - Mannella, R.

AU - McClintock, Peter V. E.

PY - 1987/6

Y1 - 1987/6

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevA.35.5183

DO - 10.1103/PhysRevA.35.5183

M3 - Journal article

VL - 35

SP - 5183

EP - 5190

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 12

ER -