Probability distribution to obtain the characteristic passage time for different tri-stable potentials

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dc.contributor.authorDrigo Filho, Elso [UNESP]
dc.contributor.authorChahine, Jorge [UNESP]
dc.contributor.authorAraujo, Marcelo Tozo
dc.contributor.authorRicotta, Regina Maria
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUNILAGO
dc.contributor.institutionCEETEPS
dc.date.accessioned2023-07-29T14:03:24Z
dc.date.available2023-07-29T14:03:24Z
dc.date.issued2022-11-15
dc.description.abstractThe purpose of this work is to explore the kinetics of the transition probability distribution obtained as a solution to the Fokker–Planck equation (FPE) for a system described by a potential function (free energy) that has three regions of minimum, a tri-stable potential. The Fokker–Planck equation is rewritten as a Schrödinger equation (SE) and this allows the use of the Supersymmetric Quantum Mechanics formalism (SQM) associated to the variational method to obtain the analytical approximated spectrum. From the solutions obtained the probability distribution is evaluated which allows the determination of the characteristic passage time between the three potential minima. The results show the dependence between the diffusion process and the relative depth between of the central and the lateral minima of the potential.en
dc.description.affiliationUniversidade Estadual Paulista “Júlio de Mesquita Filho” UNESP, 15054-000 São José do Rio Preto
dc.description.affiliationUnião das Faculdades dos Grandes Lagos UNILAGO, 15030-070 São José do Rio Preto
dc.description.affiliationFaculdade de Tecnologia de São Paulo FATEC-SP CEETEPS, 01124-060 São Paulo
dc.description.affiliationUnespUniversidade Estadual Paulista “Júlio de Mesquita Filho” UNESP, 15054-000 São José do Rio Preto
dc.identifierhttp://dx.doi.org/10.1016/j.physa.2022.128121
dc.identifier.citationPhysica A: Statistical Mechanics and its Applications, v. 606.
dc.identifier.doi10.1016/j.physa.2022.128121
dc.identifier.issn0378-4371
dc.identifier.scopus2-s2.0-85137669501
dc.identifier.urihttp://hdl.handle.net/11449/249136
dc.language.isoeng
dc.relation.ispartofPhysica A: Statistical Mechanics and its Applications
dc.sourceScopus
dc.subjectFokker–Planck equation
dc.subjectSupersymmetric quantum mechanics
dc.subjectTri-stable potential
dc.subjectVariational method
dc.titleProbability distribution to obtain the characteristic passage time for different tri-stable potentialsen
dc.typeArtigo

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