State-dependent diffusion in a bistable potential: Conditional probabilities and escape rates
dc.contributor.author | Moreno, Miguel [UNESP] | |
dc.contributor.author | Barci, Daniel G. | |
dc.contributor.author | Arenas, Zochil Gonzalez | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Universidade do Estado do Rio de Janeiro (UERJ) | |
dc.contributor.institution | Universidade Federal Fluminense (UFF) | |
dc.contributor.institution | Natl Inst Sci & Technol Complex Syst | |
dc.date.accessioned | 2020-12-10T20:00:53Z | |
dc.date.available | 2020-12-10T20:00:53Z | |
dc.date.issued | 2020-06-02 | |
dc.description.abstract | We 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.affiliation | Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil | |
dc.description.affiliation | Univ Estado Rio de Janeiro, Dept Fis Teor, Rua Sao Francisco Xavier 524, BR-20550013 Rio De Janeiro, RJ, Brazil | |
dc.description.affiliation | Univ Estado Rio de Janeiro, IME, Dept Matemat Aplicada, Rua Sao Francisco Xavier 524, BR-20550013 Rio De Janeiro, RJ, Brazil | |
dc.description.affiliation | Univ Fed Fluminense, Dept Fis, Av Gal Milton Tavares Souza S-N, BR-24210346 Niteroi, RJ, Brazil | |
dc.description.affiliation | Natl Inst Sci & Technol Complex Syst, Av Gal Milton Tavares Souza S-N, BR-24210346 Niteroi, RJ, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
dc.description.sponsorshipId | CAPES: 001 | |
dc.format.extent | 12 | |
dc.identifier | http://dx.doi.org/10.1103/PhysRevE.101.062110 | |
dc.identifier.citation | Physical Review E. College Pk: Amer Physical Soc, v. 101, n. 6, 12 p., 2020. | |
dc.identifier.doi | 10.1103/PhysRevE.101.062110 | |
dc.identifier.issn | 1539-3755 | |
dc.identifier.uri | http://hdl.handle.net/11449/196934 | |
dc.identifier.wos | WOS:000537174400002 | |
dc.language.iso | eng | |
dc.publisher | Amer Physical Soc | |
dc.relation.ispartof | Physical Review E | |
dc.source | Web of Science | |
dc.title | State-dependent diffusion in a bistable potential: Conditional probabilities and escape rates | en |
dc.type | Artigo | |
dcterms.license | http://publish.aps.org/authors/transfer-of-copyright-agreement | |
dcterms.rightsHolder | Amer Physical Soc | |
unesp.author.orcid | 0000-0001-8377-2687[3] |