Symmetry for the duration of entropy-consuming intervals

Autores
Garcia Garcia, Reinaldo; Domínguez, Daniel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We introduce the violation fraction υ as the cumulative fraction of time that a mesoscopic system spendsconsuming entropy at a single trajectory in phase space.We showthat the fluctuations of this quantity are describedin terms of a symmetry relation reminiscent of fluctuation theorems, which involve a function , which can beinterpreted as an entropy associated with the fluctuations of the violation fraction. The function, when evaluatedfor arbitrary stochastic realizations of the violation fraction, is odd upon the symmetry transformations that arerelevant for the associated stochastic entropy production. This fact leads to a detailed fluctuation theorem for theprobability density function of . We study the steady-state limit of this symmetry in the paradigmatic case of acolloidal particle dragged by optical tweezers through an aqueous solution. Finally, we briefly discuss possibleapplications of our results for the estimation of free-energy differences from single-molecule experiments.
Fil: Garcia Garcia, Reinaldo. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; Argentina
Fil: Domínguez, Daniel. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; Argentina
Materia
Entropy
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:11336/31161

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spelling Symmetry for the duration of entropy-consuming intervalsGarcia Garcia, ReinaldoDomínguez, DanielEntropyhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We introduce the violation fraction υ as the cumulative fraction of time that a mesoscopic system spendsconsuming entropy at a single trajectory in phase space.We showthat the fluctuations of this quantity are describedin terms of a symmetry relation reminiscent of fluctuation theorems, which involve a function , which can beinterpreted as an entropy associated with the fluctuations of the violation fraction. The function, when evaluatedfor arbitrary stochastic realizations of the violation fraction, is odd upon the symmetry transformations that arerelevant for the associated stochastic entropy production. This fact leads to a detailed fluctuation theorem for theprobability density function of . We study the steady-state limit of this symmetry in the paradigmatic case of acolloidal particle dragged by optical tweezers through an aqueous solution. Finally, we briefly discuss possibleapplications of our results for the estimation of free-energy differences from single-molecule experiments.Fil: Garcia Garcia, Reinaldo. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; ArgentinaFil: Domínguez, Daniel. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; ArgentinaAmerican Physical Society2014-05-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31161Garcia Garcia, Reinaldo; Domínguez, Daniel; Symmetry for the duration of entropy-consuming intervals; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 89; 2014; 14-5-2014; 052121-1/052121-101539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.89.052121info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.052121info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:35:31Zoai:ri.conicet.gov.ar:11336/31161instacron: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:34982025-10-22 11:35:31.878CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Symmetry for the duration of entropy-consuming intervals
title Symmetry for the duration of entropy-consuming intervals
spellingShingle Symmetry for the duration of entropy-consuming intervals
Garcia Garcia, Reinaldo
Entropy
title_short Symmetry for the duration of entropy-consuming intervals
title_full Symmetry for the duration of entropy-consuming intervals
title_fullStr Symmetry for the duration of entropy-consuming intervals
title_full_unstemmed Symmetry for the duration of entropy-consuming intervals
title_sort Symmetry for the duration of entropy-consuming intervals
dc.creator.none.fl_str_mv Garcia Garcia, Reinaldo
Domínguez, Daniel
author Garcia Garcia, Reinaldo
author_facet Garcia Garcia, Reinaldo
Domínguez, Daniel
author_role author
author2 Domínguez, Daniel
author2_role author
dc.subject.none.fl_str_mv Entropy
topic Entropy
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 introduce the violation fraction υ as the cumulative fraction of time that a mesoscopic system spendsconsuming entropy at a single trajectory in phase space.We showthat the fluctuations of this quantity are describedin terms of a symmetry relation reminiscent of fluctuation theorems, which involve a function , which can beinterpreted as an entropy associated with the fluctuations of the violation fraction. The function, when evaluatedfor arbitrary stochastic realizations of the violation fraction, is odd upon the symmetry transformations that arerelevant for the associated stochastic entropy production. This fact leads to a detailed fluctuation theorem for theprobability density function of . We study the steady-state limit of this symmetry in the paradigmatic case of acolloidal particle dragged by optical tweezers through an aqueous solution. Finally, we briefly discuss possibleapplications of our results for the estimation of free-energy differences from single-molecule experiments.
Fil: Garcia Garcia, Reinaldo. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; Argentina
Fil: Domínguez, Daniel. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Grupo de Teoria de Solidos; Argentina
description We introduce the violation fraction υ as the cumulative fraction of time that a mesoscopic system spendsconsuming entropy at a single trajectory in phase space.We showthat the fluctuations of this quantity are describedin terms of a symmetry relation reminiscent of fluctuation theorems, which involve a function , which can beinterpreted as an entropy associated with the fluctuations of the violation fraction. The function, when evaluatedfor arbitrary stochastic realizations of the violation fraction, is odd upon the symmetry transformations that arerelevant for the associated stochastic entropy production. This fact leads to a detailed fluctuation theorem for theprobability density function of . We study the steady-state limit of this symmetry in the paradigmatic case of acolloidal particle dragged by optical tweezers through an aqueous solution. Finally, we briefly discuss possibleapplications of our results for the estimation of free-energy differences from single-molecule experiments.
publishDate 2014
dc.date.none.fl_str_mv 2014-05-14
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/11336/31161
Garcia Garcia, Reinaldo; Domínguez, Daniel; Symmetry for the duration of entropy-consuming intervals; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 89; 2014; 14-5-2014; 052121-1/052121-10
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31161
identifier_str_mv Garcia Garcia, Reinaldo; Domínguez, Daniel; Symmetry for the duration of entropy-consuming intervals; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 89; 2014; 14-5-2014; 052121-1/052121-10
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.89.052121
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.052121
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
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
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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