The nonequilibrium potential today: A short review

A brief review is made of the birth and evolution of the “nonequilibrium potential” (NEP) concept. As if providing a landscape for qualitative reasoning were not helpful enough, the NEP adds a quantitative dimension to the qualitative theory of differential equations and provides a global Lyapunov f...

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Detalles Bibliográficos
Autores: Wio, Horacio S., Deza, Ignacio, Sánchez, Alejandro D., García-García, R., Gallego, Rafael, Revelli, Jorge A., Deza, Roberto R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/305481
Acceso en línea:http://hdl.handle.net/10261/305481
https://api.elsevier.com/content/abstract/scopus_id/85140729903
Access Level:acceso abierto
Palabra clave:Stochastic thermodynamics
KPZ equation
Nonequilibrium potential
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spelling The nonequilibrium potential today: A short reviewWio, Horacio S.Deza, IgnacioSánchez, Alejandro D.García-García, R.Gallego, RafaelRevelli, Jorge A.Deza, Roberto R.Stochastic thermodynamicsKPZ equationNonequilibrium potentialA brief review is made of the birth and evolution of the “nonequilibrium potential” (NEP) concept. As if providing a landscape for qualitative reasoning were not helpful enough, the NEP adds a quantitative dimension to the qualitative theory of differential equations and provides a global Lyapunov function for the deterministic dynamics. Here we illustrate the usefulness of the NEP to draw results on stochastic thermodynamics: the Jarzynski equality in the Wilson–Cowan model (a population-competition model of the neocortex) and a “thermodynamic uncertainty relation” (TUR) in the KPZ equation (the stochastic field theory of kinetic interface roughening). Additionally, we discuss system-size stochastic resonance in the Wilson–Cowan model and relevant aspects of KPZ phenomenology like the EW–KPZ crossover and the memory of initial conditions.A.D.S. and R.R.D. acknowledge support by UNMdP, Argentina through project EXA1033/21–15/E991.Peer reviewedElsevierUniversidad Nacional de Mar del PlataConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202320232022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/305481https://api.elsevier.com/content/abstract/scopus_id/85140729903reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1016/j.chaos.2022.112778Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3054812026-05-22T06:33:51Z
dc.title.none.fl_str_mv The nonequilibrium potential today: A short review
title The nonequilibrium potential today: A short review
spellingShingle The nonequilibrium potential today: A short review
Wio, Horacio S.
Stochastic thermodynamics
KPZ equation
Nonequilibrium potential
title_short The nonequilibrium potential today: A short review
title_full The nonequilibrium potential today: A short review
title_fullStr The nonequilibrium potential today: A short review
title_full_unstemmed The nonequilibrium potential today: A short review
title_sort The nonequilibrium potential today: A short review
dc.creator.none.fl_str_mv Wio, Horacio S.
Deza, Ignacio
Sánchez, Alejandro D.
García-García, R.
Gallego, Rafael
Revelli, Jorge A.
Deza, Roberto R.
author Wio, Horacio S.
author_facet Wio, Horacio S.
Deza, Ignacio
Sánchez, Alejandro D.
García-García, R.
Gallego, Rafael
Revelli, Jorge A.
Deza, Roberto R.
author_role author
author2 Deza, Ignacio
Sánchez, Alejandro D.
García-García, R.
Gallego, Rafael
Revelli, Jorge A.
Deza, Roberto R.
author2_role author
author
author
author
author
author
dc.contributor.none.fl_str_mv Universidad Nacional de Mar del Plata
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Stochastic thermodynamics
KPZ equation
Nonequilibrium potential
topic Stochastic thermodynamics
KPZ equation
Nonequilibrium potential
description A brief review is made of the birth and evolution of the “nonequilibrium potential” (NEP) concept. As if providing a landscape for qualitative reasoning were not helpful enough, the NEP adds a quantitative dimension to the qualitative theory of differential equations and provides a global Lyapunov function for the deterministic dynamics. Here we illustrate the usefulness of the NEP to draw results on stochastic thermodynamics: the Jarzynski equality in the Wilson–Cowan model (a population-competition model of the neocortex) and a “thermodynamic uncertainty relation” (TUR) in the KPZ equation (the stochastic field theory of kinetic interface roughening). Additionally, we discuss system-size stochastic resonance in the Wilson–Cowan model and relevant aspects of KPZ phenomenology like the EW–KPZ crossover and the memory of initial conditions.
publishDate 2022
dc.date.none.fl_str_mv 2022
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/305481
https://api.elsevier.com/content/abstract/scopus_id/85140729903
url http://hdl.handle.net/10261/305481
https://api.elsevier.com/content/abstract/scopus_id/85140729903
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.chaos.2022.112778
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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