Concavity, response functions and replica energy

In nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with anomalous concavity properties of the thermodynamic potentials...

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Detalles Bibliográficos
Autores: Campa, Alessandro, Casetti, L., Latella, Ivan, Pérez Madrid, Agustín, Ruffo, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/136836
Acceso en línea:https://hdl.handle.net/2445/136836
Access Level:acceso abierto
Palabra clave:Termodinàmica
Mecànica estadística
Thermodynamics
Statistical mechanics
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spelling Concavity, response functions and replica energyCampa, AlessandroCasetti, L.Latella, IvanPérez Madrid, AgustínRuffo, S.TermodinàmicaMecànica estadísticaThermodynamicsStatistical mechanicsIn nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with anomalous concavity properties of the thermodynamic potentials associated with the various ensembles. We show how the type and number of negative response functions depend on which of the quantities E, V and N (energy, volume and number of particles) are constrained in the ensemble. In particular, we consider the unconstrained ensemble in which E, V and N fluctuate, which is physically meaningful only for nonadditive systems. In fact, its partition function is associated with the replica energy, a thermodynamic function that identically vanishes when additivity holds, but that contains relevant information in nonadditive systems.MDPI2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/136836Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.3390/e20120907Entropy, 2018, vol. 20, num. 12https://doi.org/10.3390/e20120907cc-by (c) Campa, Alessandro et al., 2018http://creativecommons.org/licenses/by/3.0/esinfo:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1368362026-05-27T06:46:51Z
dc.title.none.fl_str_mv Concavity, response functions and replica energy
title Concavity, response functions and replica energy
spellingShingle Concavity, response functions and replica energy
Campa, Alessandro
Termodinàmica
Mecànica estadística
Thermodynamics
Statistical mechanics
title_short Concavity, response functions and replica energy
title_full Concavity, response functions and replica energy
title_fullStr Concavity, response functions and replica energy
title_full_unstemmed Concavity, response functions and replica energy
title_sort Concavity, response functions and replica energy
dc.creator.none.fl_str_mv Campa, Alessandro
Casetti, L.
Latella, Ivan
Pérez Madrid, Agustín
Ruffo, S.
author Campa, Alessandro
author_facet Campa, Alessandro
Casetti, L.
Latella, Ivan
Pérez Madrid, Agustín
Ruffo, S.
author_role author
author2 Casetti, L.
Latella, Ivan
Pérez Madrid, Agustín
Ruffo, S.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Termodinàmica
Mecànica estadística
Thermodynamics
Statistical mechanics
topic Termodinàmica
Mecànica estadística
Thermodynamics
Statistical mechanics
description In nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with anomalous concavity properties of the thermodynamic potentials associated with the various ensembles. We show how the type and number of negative response functions depend on which of the quantities E, V and N (energy, volume and number of particles) are constrained in the ensemble. In particular, we consider the unconstrained ensemble in which E, V and N fluctuate, which is physically meaningful only for nonadditive systems. In fact, its partition function is associated with the replica energy, a thermodynamic function that identically vanishes when additivity holds, but that contains relevant information in nonadditive systems.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/136836
url https://hdl.handle.net/2445/136836
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.3390/e20120907
Entropy, 2018, vol. 20, num. 12
https://doi.org/10.3390/e20120907
dc.rights.none.fl_str_mv cc-by (c) Campa, Alessandro et al., 2018
http://creativecommons.org/licenses/by/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Campa, Alessandro et al., 2018
http://creativecommons.org/licenses/by/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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