The Fokker-Planck equation for a bistable potential

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorCaldas, Denise [UNESP]
dc.creatorChahine, Jorge [UNESP]
dc.creatorDrigo Filho, Elso [UNESP]
dc.date2015-03-18T15:53:44Z
dc.date2015-03-18T15:53:44Z
dc.date2014-10-15
dc.date.accessioned2023-09-09T11:08:58Z
dc.date.available2023-09-09T11:08:58Z
dc.identifierhttp://dx.doi.org/10.1016/j.physa.2014.06.009
dc.identifierPhysica A-statistical Mechanics And Its Applications. Amsterdam: Elsevier Science Bv, v. 412, p. 92-100, 2014.
dc.identifier0378-4371
dc.identifierhttp://hdl.handle.net/11449/116692
dc.identifier10.1016/j.physa.2014.06.009
dc.identifierWOS:000340692700009
dc.identifier1518826294347383
dc.identifier3277957413291567
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8766177
dc.descriptionThe Fokker-Planck equation is studied through its relation to a Schrodinger-type equation. The advantage of this combination is that we can construct the probability distribution of the Fokker-Planck equation by using well-known solutions of the Schrodinger equation. By making use of such a combination, we present the solution of the Fokker-Planck equation for a bistable potential related to a double oscillator. Thus, we can observe the temporal evolution of the system describing its dynamic properties such as the time tau to overcome the barrier. By calculating the rates k = 1/tau as a function of the inverse scaled temperature 1/D, where D is the diffusion coefficient, we compare the aspect of the curve k x 1/D, with the ones obtained from other studies related to four different kinds of activated process. We notice that there are similarities in some ranges of the scaled temperatures, where the different processes follow the Arrhenius behavior. We propose that the type of bistable potential used in this study may be used, qualitatively, as a simple model, whose rates share common features with the rates of some single rate-limited thermally activated processes. (C) 2014 Elsevier B.V. All rights reserved.
dc.descriptionUniv Estadual Paulista, UNESP, Inst Biociencia Letras & Ciencias Exatas, Dept Fis, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionUniv Estadual Paulista, UNESP, Inst Biociencia Letras & Ciencias Exatas, Dept Fis, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.format92-100
dc.languageeng
dc.publisherElsevier B.V.
dc.relationPhysica A-statistical Mechanics And Its Applications
dc.relation2.132
dc.relation0,773
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectFokker-Planck equation
dc.subjectBistable potential
dc.subjectArrhenius behavior
dc.titleThe Fokker-Planck equation for a bistable potential
dc.typeArtigo


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