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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/31161
Ver los metadatos del registro completo
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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 |
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2014-05-14 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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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 |
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eng |
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eng |
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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 |
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openAccess |
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American Physical Society |
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