Probability distribution to obtain the characteristic passage time for different tri-stable potentials
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.physa.2022.128121 http://hdl.handle.net/11449/249136 |
Resumo: | The 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. |
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Repositório Institucional da UNESP |
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2946 |
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Probability distribution to obtain the characteristic passage time for different tri-stable potentialsFokker–Planck equationSupersymmetric quantum mechanicsTri-stable potentialVariational methodThe 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.Universidade Estadual Paulista “Júlio de Mesquita Filho” UNESP, 15054-000 São José do Rio PretoUnião das Faculdades dos Grandes Lagos UNILAGO, 15030-070 São José do Rio PretoFaculdade de Tecnologia de São Paulo FATEC-SP CEETEPS, 01124-060 São PauloUniversidade Estadual Paulista “Júlio de Mesquita Filho” UNESP, 15054-000 São José do Rio PretoUniversidade Estadual Paulista (UNESP)UNILAGOCEETEPSDrigo Filho, Elso [UNESP]Chahine, Jorge [UNESP]Araujo, Marcelo TozoRicotta, Regina Maria2023-07-29T14:03:24Z2023-07-29T14:03:24Z2022-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.physa.2022.128121Physica A: Statistical Mechanics and its Applications, v. 606.0378-4371http://hdl.handle.net/11449/24913610.1016/j.physa.2022.1281212-s2.0-85137669501Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysica A: Statistical Mechanics and its Applicationsinfo:eu-repo/semantics/openAccess2023-07-29T14:03:24Zoai:repositorio.unesp.br:11449/249136Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:09:06.164477Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
title |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
spellingShingle |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials Drigo Filho, Elso [UNESP] Fokker–Planck equation Supersymmetric quantum mechanics Tri-stable potential Variational method |
title_short |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
title_full |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
title_fullStr |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
title_full_unstemmed |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
title_sort |
Probability distribution to obtain the characteristic passage time for different tri-stable potentials |
author |
Drigo Filho, Elso [UNESP] |
author_facet |
Drigo Filho, Elso [UNESP] Chahine, Jorge [UNESP] Araujo, Marcelo Tozo Ricotta, Regina Maria |
author_role |
author |
author2 |
Chahine, Jorge [UNESP] Araujo, Marcelo Tozo Ricotta, Regina Maria |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) UNILAGO CEETEPS |
dc.contributor.author.fl_str_mv |
Drigo Filho, Elso [UNESP] Chahine, Jorge [UNESP] Araujo, Marcelo Tozo Ricotta, Regina Maria |
dc.subject.por.fl_str_mv |
Fokker–Planck equation Supersymmetric quantum mechanics Tri-stable potential Variational method |
topic |
Fokker–Planck equation Supersymmetric quantum mechanics Tri-stable potential Variational method |
description |
The 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. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-11-15 2023-07-29T14:03:24Z 2023-07-29T14:03:24Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.physa.2022.128121 Physica A: Statistical Mechanics and its Applications, v. 606. 0378-4371 http://hdl.handle.net/11449/249136 10.1016/j.physa.2022.128121 2-s2.0-85137669501 |
url |
http://dx.doi.org/10.1016/j.physa.2022.128121 http://hdl.handle.net/11449/249136 |
identifier_str_mv |
Physica A: Statistical Mechanics and its Applications, v. 606. 0378-4371 10.1016/j.physa.2022.128121 2-s2.0-85137669501 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physica A: Statistical Mechanics and its Applications |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128468186038272 |