Infinite family of second-law-like inequalities
- Autores
- Perez Espigares, Carlos; Kolton, Alejandro Benedykt; Kurchan, Jorge
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is approximated by a thermodynamic one. We show here that every set of trial distributions yields an inequality playing the role of a generalization of the second law. The better the approximation is, the more constraining the inequality becomes: this suggests a criterion for its accuracy, as well as an optimization procedure that may be implemented numerically and even experimentally. The fluctuation relation behind this inequality, a natural and practical extension of the Hatano-Sasa theorem, does not rely on the a priori knowledge of the stationary probability distribution.
Fil: Perez Espigares, Carlos. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Kurchan, Jorge. Centre National de la Recherche Scientifique. Laboratoire Pmmh-umr 7636; Francia - Materia
-
Irreversible thermodynamics
Statistical mechanics
Fluctuation phenomena - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/195927
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Infinite family of second-law-like inequalitiesPerez Espigares, CarlosKolton, Alejandro BenedyktKurchan, JorgeIrreversible thermodynamicsStatistical mechanicsFluctuation phenomenahttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is approximated by a thermodynamic one. We show here that every set of trial distributions yields an inequality playing the role of a generalization of the second law. The better the approximation is, the more constraining the inequality becomes: this suggests a criterion for its accuracy, as well as an optimization procedure that may be implemented numerically and even experimentally. The fluctuation relation behind this inequality, a natural and practical extension of the Hatano-Sasa theorem, does not rely on the a priori knowledge of the stationary probability distribution.Fil: Perez Espigares, Carlos. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; EspañaFil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Kurchan, Jorge. Centre National de la Recherche Scientifique. Laboratoire Pmmh-umr 7636; FranciaAmerican Physical Society2012-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/195927Perez Espigares, Carlos; Kolton, Alejandro Benedykt; Kurchan, Jorge; Infinite family of second-law-like inequalities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 1; 3-2012; 31135-311431063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.85.031135info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.031135info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:15Zoai:ri.conicet.gov.ar:11336/195927instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:15.519CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Infinite family of second-law-like inequalities |
title |
Infinite family of second-law-like inequalities |
spellingShingle |
Infinite family of second-law-like inequalities Perez Espigares, Carlos Irreversible thermodynamics Statistical mechanics Fluctuation phenomena |
title_short |
Infinite family of second-law-like inequalities |
title_full |
Infinite family of second-law-like inequalities |
title_fullStr |
Infinite family of second-law-like inequalities |
title_full_unstemmed |
Infinite family of second-law-like inequalities |
title_sort |
Infinite family of second-law-like inequalities |
dc.creator.none.fl_str_mv |
Perez Espigares, Carlos Kolton, Alejandro Benedykt Kurchan, Jorge |
author |
Perez Espigares, Carlos |
author_facet |
Perez Espigares, Carlos Kolton, Alejandro Benedykt Kurchan, Jorge |
author_role |
author |
author2 |
Kolton, Alejandro Benedykt Kurchan, Jorge |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Irreversible thermodynamics Statistical mechanics Fluctuation phenomena |
topic |
Irreversible thermodynamics Statistical mechanics Fluctuation phenomena |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is approximated by a thermodynamic one. We show here that every set of trial distributions yields an inequality playing the role of a generalization of the second law. The better the approximation is, the more constraining the inequality becomes: this suggests a criterion for its accuracy, as well as an optimization procedure that may be implemented numerically and even experimentally. The fluctuation relation behind this inequality, a natural and practical extension of the Hatano-Sasa theorem, does not rely on the a priori knowledge of the stationary probability distribution. Fil: Perez Espigares, Carlos. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Kurchan, Jorge. Centre National de la Recherche Scientifique. Laboratoire Pmmh-umr 7636; Francia |
description |
The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is approximated by a thermodynamic one. We show here that every set of trial distributions yields an inequality playing the role of a generalization of the second law. The better the approximation is, the more constraining the inequality becomes: this suggests a criterion for its accuracy, as well as an optimization procedure that may be implemented numerically and even experimentally. The fluctuation relation behind this inequality, a natural and practical extension of the Hatano-Sasa theorem, does not rely on the a priori knowledge of the stationary probability distribution. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-03 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/195927 Perez Espigares, Carlos; Kolton, Alejandro Benedykt; Kurchan, Jorge; Infinite family of second-law-like inequalities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 1; 3-2012; 31135-31143 1063-651X CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/195927 |
identifier_str_mv |
Perez Espigares, Carlos; Kolton, Alejandro Benedykt; Kurchan, Jorge; Infinite family of second-law-like inequalities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 1; 3-2012; 31135-31143 1063-651X CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.85.031135 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.031135 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |