Multiplicative cross-correlated noise induced escape rate from a metastable state

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dc.creatorChaudhuri, Jyotipratim Ray
dc.creatorChattopadhyay, Sudip
dc.creatorBanik, Suman Kumar
dc.date2008-02-27
dc.date.accessioned2026-07-07T09:32:52Z
dc.date.available2026-07-07T09:32:52Z
dc.descriptionWe present an analytical framework to study the escape rate from a metastable state under the influence of two external multiplicative cross-correlated noise processes. Starting from a phenomenological stationary Langevin description with multiplicative noise processes, we have investigated the Kramers' theory for activated rate processes in a nonequilibrium open system (one-dimensional in nature) driven by two external cross-correlated noise processes which are Gaussian, stationary and delta correlated. Based on the Fokker-Planck description in phase space, we then derive the escape rate from a metastable state in the moderate to large friction limit to study the effect of degree of correlation on the same. By employing numerical simulation in the presence of external cross-correlated additive and multiplicative noises we check the validity of our analytical formalism for constant dissipation, which shows a satisfactory agreement between both the approaches for the specific choice of noise processes. It is evident both from analytical development and the corresponding numerical simulation that the enhancement of rate is possible by increasing the degree of correlation of the external fluctuations.
dc.description9 pages, 1 figures, RevTex 4
dc.identifierhttps://arxiv.org/abs/0802.4031
dc.identifierhttp://arxiv.org/abs/0802.4031
dc.identifierJ. Chem. Phys. 128, 154513 (2008)
dc.identifierdoi:10.1063/1.2901044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158933
dc.subjectSoft Condensed Matter
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectChemical Physics
dc.titleMultiplicative cross-correlated noise induced escape rate from a metastable state
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