Joint probability distributions and fluctuation theorems

Autores
Garcia Garcia, Reinaldo; Lecomte, Vivien; Kolton, Alejandro Benedykt; Dominguez, Daniel
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We derive various exact results for Markovian systems that spontaneously relax to a non-equilibrium steady-state by using joint probability distributions symmetries of different entropy production decompositions. The analytical approach is applied to diverse problems such as the description of the fluctuations induced by experimental errors, for unveiling symmetries of correlation functions appearing in fluctuation-dissipation relations recently generalised to non-equilibrium steady-states, and also for mapping averages between different trajectory-based dynamical ensembles. Many known fluctuation theorems arise as special instances of our approach, for particular two-fold decompositions of the total entropy production. As a complement, we also briefly review and synthesise the variety of fluctuation theorems applying to stochastic dynamics of both, continuous systems described by a Langevin dynamics and discrete systems obeying a Markov dynamics, emphasising how these results emerge from distinct symmetries of the dynamical entropy of the trajectory followed by the system For Langevin dynamics, we embed the "dual dynamics" with a physical meaning, and for Markov systems we show how the fluctuation theorems translate into symmetries of modified evolution operators.
Fil: Garcia Garcia, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Lecomte, Vivien. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; Francia
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Dominguez, Daniel. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; Francia
Materia
Entropy
Non equilibrium
Fluctuations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/11253
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/11253
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Joint probability distributions and fluctuation theoremsGarcia Garcia, ReinaldoLecomte, VivienKolton, Alejandro BenedyktDominguez, DanielEntropyNon equilibriumFluctuationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We derive various exact results for Markovian systems that spontaneously relax to a non-equilibrium steady-state by using joint probability distributions symmetries of different entropy production decompositions. The analytical approach is applied to diverse problems such as the description of the fluctuations induced by experimental errors, for unveiling symmetries of correlation functions appearing in fluctuation-dissipation relations recently generalised to non-equilibrium steady-states, and also for mapping averages between different trajectory-based dynamical ensembles. Many known fluctuation theorems arise as special instances of our approach, for particular two-fold decompositions of the total entropy production. As a complement, we also briefly review and synthesise the variety of fluctuation theorems applying to stochastic dynamics of both, continuous systems described by a Langevin dynamics and discrete systems obeying a Markov dynamics, emphasising how these results emerge from distinct symmetries of the dynamical entropy of the trajectory followed by the system For Langevin dynamics, we embed the "dual dynamics" with a physical meaning, and for Markov systems we show how the fluctuation theorems translate into symmetries of modified evolution operators.Fil: Garcia Garcia, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Lecomte, Vivien. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; FranciaFil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Dominguez, Daniel. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; FranciaIOP Publishing2012-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/11253Garcia Garcia, Reinaldo; Lecomte, Vivien; Kolton, Alejandro Benedykt; Dominguez, Daniel; Joint probability distributions and fluctuation theorems; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2012; 2-2012; 200901-2009371742-5468enginfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1111.5369info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2012/02/P02009/meta#info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1088/1742-5468/2012/02/P02009info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:37:27Zoai:ri.conicet.gov.ar:11336/11253instacron: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 09:37:27.418CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Joint probability distributions and fluctuation theorems
title Joint probability distributions and fluctuation theorems
spellingShingle Joint probability distributions and fluctuation theorems
Garcia Garcia, Reinaldo
Entropy
Non equilibrium
Fluctuations
title_short Joint probability distributions and fluctuation theorems
title_full Joint probability distributions and fluctuation theorems
title_fullStr Joint probability distributions and fluctuation theorems
title_full_unstemmed Joint probability distributions and fluctuation theorems
title_sort Joint probability distributions and fluctuation theorems
dc.creator.none.fl_str_mv Garcia Garcia, Reinaldo
Lecomte, Vivien
Kolton, Alejandro Benedykt
Dominguez, Daniel
author Garcia Garcia, Reinaldo
author_facet Garcia Garcia, Reinaldo
Lecomte, Vivien
Kolton, Alejandro Benedykt
Dominguez, Daniel
author_role author
author2 Lecomte, Vivien
Kolton, Alejandro Benedykt
Dominguez, Daniel
author2_role author
author
author
dc.subject.none.fl_str_mv Entropy
Non equilibrium
Fluctuations
topic Entropy
Non equilibrium
Fluctuations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We derive various exact results for Markovian systems that spontaneously relax to a non-equilibrium steady-state by using joint probability distributions symmetries of different entropy production decompositions. The analytical approach is applied to diverse problems such as the description of the fluctuations induced by experimental errors, for unveiling symmetries of correlation functions appearing in fluctuation-dissipation relations recently generalised to non-equilibrium steady-states, and also for mapping averages between different trajectory-based dynamical ensembles. Many known fluctuation theorems arise as special instances of our approach, for particular two-fold decompositions of the total entropy production. As a complement, we also briefly review and synthesise the variety of fluctuation theorems applying to stochastic dynamics of both, continuous systems described by a Langevin dynamics and discrete systems obeying a Markov dynamics, emphasising how these results emerge from distinct symmetries of the dynamical entropy of the trajectory followed by the system For Langevin dynamics, we embed the "dual dynamics" with a physical meaning, and for Markov systems we show how the fluctuation theorems translate into symmetries of modified evolution operators.
Fil: Garcia Garcia, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Lecomte, Vivien. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; Francia
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Dominguez, Daniel. Centre National de la Recherche Scientifique; Francia. Universite Pierre et Marie Curie; Francia. Universite Paris Diderot - Paris 7; Francia
description We derive various exact results for Markovian systems that spontaneously relax to a non-equilibrium steady-state by using joint probability distributions symmetries of different entropy production decompositions. The analytical approach is applied to diverse problems such as the description of the fluctuations induced by experimental errors, for unveiling symmetries of correlation functions appearing in fluctuation-dissipation relations recently generalised to non-equilibrium steady-states, and also for mapping averages between different trajectory-based dynamical ensembles. Many known fluctuation theorems arise as special instances of our approach, for particular two-fold decompositions of the total entropy production. As a complement, we also briefly review and synthesise the variety of fluctuation theorems applying to stochastic dynamics of both, continuous systems described by a Langevin dynamics and discrete systems obeying a Markov dynamics, emphasising how these results emerge from distinct symmetries of the dynamical entropy of the trajectory followed by the system For Langevin dynamics, we embed the "dual dynamics" with a physical meaning, and for Markov systems we show how the fluctuation theorems translate into symmetries of modified evolution operators.
publishDate 2012
dc.date.none.fl_str_mv 2012-02
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/11336/11253
Garcia Garcia, Reinaldo; Lecomte, Vivien; Kolton, Alejandro Benedykt; Dominguez, Daniel; Joint probability distributions and fluctuation theorems; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2012; 2-2012; 200901-200937
1742-5468
url http://hdl.handle.net/11336/11253
identifier_str_mv Garcia Garcia, Reinaldo; Lecomte, Vivien; Kolton, Alejandro Benedykt; Dominguez, Daniel; Joint probability distributions and fluctuation theorems; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2012; 2-2012; 200901-200937
1742-5468
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1111.5369
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2012/02/P02009/meta#
info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1088/1742-5468/2012/02/P02009
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/zip
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
repository.name.fl_str_mv 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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score 13.070432

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