A General Solution of the Fokker-Planck Equation

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dc.contributor.authorAraujo, M. T. [UNESP]
dc.contributor.authorDrigo Filho, Elso [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:35Z
dc.date.available2014-05-20T14:02:35Z
dc.date.issued2012-02-01
dc.description.abstractThe Fokker-Planck equation is useful to describe stochastic processes. Depending on the force acting in the system, the solution of this equation becomes complicated and approximate or numerical solutions are needed. The relation with the Schrodinger equation allows building a method to obtain solutions of the Fokker-Planck equation. However, this approach has been limited to the study of confined potentials, restricting its applicability. In this work, we suggest a general treatment for non-confining potentials through the use of series of functions based on the solution of the Schrodinger equation, with part of discrete spectrum and part of continuum spectrum. Two examples, the Rosen-Morse potential and a limited harmonic potential, are analyzed using the suggested approach.en
dc.description.affiliationUNESP, Dept Phys, Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Phys, Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent610-619
dc.identifierhttp://dx.doi.org/10.1007/s10955-011-0411-8
dc.identifier.citationJournal of Statistical Physics. New York: Springer, v. 146, n. 3, p. 610-619, 2012.
dc.identifier.doi10.1007/s10955-011-0411-8
dc.identifier.issn0022-4715
dc.identifier.lattes3277957413291567
dc.identifier.urihttp://hdl.handle.net/11449/22064
dc.identifier.wosWOS:000300775900005
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal of Statistical Physics
dc.relation.ispartofjcr1.496
dc.relation.ispartofsjr0,930
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectFokker-Planck equationen
dc.subjectSchrödinger equationen
dc.subjectRosen-Morse potentialen
dc.subjectLimited Harmonic Oscillatoren
dc.titleA General Solution of the Fokker-Planck Equationen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.lattes3277957413291567
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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Artigos - Física - IBILCE