State-dependent diffusion in a bistable potential: Conditional probabilities and escape rates

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dc.contributor.authorMoreno, Miguel [UNESP]
dc.contributor.authorBarci, Daniel G.
dc.contributor.authorArenas, Zochil Gonzalez
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade do Estado do Rio de Janeiro (UERJ)
dc.contributor.institutionUniversidade Federal Fluminense (UFF)
dc.contributor.institutionNatl Inst Sci & Technol Complex Syst
dc.date.accessioned2020-12-10T20:00:53Z
dc.date.available2020-12-10T20:00:53Z
dc.date.issued2020-06-02
dc.description.abstractWe consider a simple model of a bistable system under the influence of multiplicative noise. We provide a path integral representation of the overdamped Langevin dynamics and compute conditional probabilities and escape rates in the weak noise approximation. The saddle-point solution of the functional integral is given by a diluted gas of instantons and anti-instantons, similar to the additive noise problem. However, in this case, the integration over fluctuations is more involved. We introduce a local time reparametrization that allows its computation in the form of usual Gaussian integrals. We found corrections to the Kramers escape rate produced by the diffusion function which governs the state-dependent diffusion for arbitrary values of the stochastic prescription parameter. Theoretical results are confirmed through numerical simulations.en
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil
dc.description.affiliationUniv Estado Rio de Janeiro, Dept Fis Teor, Rua Sao Francisco Xavier 524, BR-20550013 Rio De Janeiro, RJ, Brazil
dc.description.affiliationUniv Estado Rio de Janeiro, IME, Dept Matemat Aplicada, Rua Sao Francisco Xavier 524, BR-20550013 Rio De Janeiro, RJ, Brazil
dc.description.affiliationUniv Fed Fluminense, Dept Fis, Av Gal Milton Tavares Souza S-N, BR-24210346 Niteroi, RJ, Brazil
dc.description.affiliationNatl Inst Sci & Technol Complex Syst, Av Gal Milton Tavares Souza S-N, BR-24210346 Niteroi, RJ, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdCAPES: 001
dc.format.extent12
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.101.062110
dc.identifier.citationPhysical Review E. College Pk: Amer Physical Soc, v. 101, n. 6, 12 p., 2020.
dc.identifier.doi10.1103/PhysRevE.101.062110
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/11449/196934
dc.identifier.wosWOS:000537174400002
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review E
dc.sourceWeb of Science
dc.titleState-dependent diffusion in a bistable potential: Conditional probabilities and escape ratesen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
unesp.author.orcid0000-0001-8377-2687[3]

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