Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States

We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is...

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Detalles Bibliográficos
Autores: Plastino, Ángel Ricardo, Ferri, Gustavo L., Rocca, Mario Carlos, Plastino, Ángel Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/119313
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119313
Access Level:acceso abierto
Palabra clave:Física
Information theory
Master Equation
Thermal Time-Evolution
Equilibrium-Off Equilibrium Distances
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spelling Information-Based Numerical Distances between Equilibrium and Non-Equilibrium StatesPlastino, Ángel RicardoFerri, Gustavo L.Rocca, Mario CarlosPlastino, Ángel LuisFísicaInformation theoryMaster EquationThermal Time-EvolutionEquilibrium-Off Equilibrium DistancesWe consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.Facultad de Ciencias Exactas2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1031-1043http://sedici.unlp.edu.ar/handle/10915/119313enginfo:eu-repo/semantics/altIdentifier/issn/2153-120Xinfo:eu-repo/semantics/altIdentifier/issn/2153-1196info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2020.117065info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T13:06:18Zoai:sedici.unlp.edu.ar:10915/119313Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:06:19.267SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
title Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
spellingShingle Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
Plastino, Ángel Ricardo
Física
Information theory
Master Equation
Thermal Time-Evolution
Equilibrium-Off Equilibrium Distances
title_short Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
title_full Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
title_fullStr Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
title_full_unstemmed Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
title_sort Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
dc.creator.none.fl_str_mv Plastino, Ángel Ricardo
Ferri, Gustavo L.
Rocca, Mario Carlos
Plastino, Ángel Luis
author Plastino, Ángel Ricardo
author_facet Plastino, Ángel Ricardo
Ferri, Gustavo L.
Rocca, Mario Carlos
Plastino, Ángel Luis
author_role author
author2 Ferri, Gustavo L.
Rocca, Mario Carlos
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Information theory
Master Equation
Thermal Time-Evolution
Equilibrium-Off Equilibrium Distances
topic Física
Information theory
Master Equation
Thermal Time-Evolution
Equilibrium-Off Equilibrium Distances
description We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/119313
url http://sedici.unlp.edu.ar/handle/10915/119313
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2153-120X
info:eu-repo/semantics/altIdentifier/issn/2153-1196
info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2020.117065
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
1031-1043
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 15.812429

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