Statistical mechanics in the extended Gaussian ensemble

The extended Gaussian ensemble (EGE) is introduced as a generalization of the canonical ensemble. This ensemble is a further extension of the Gaussian ensemble introduced by Hetherington [J. Low Temp. Phys. 66, 145 (1987)]. The statistical mechanical formalism is derived both from the analysis of th...

Descripción completa

Detalles Bibliográficos
Autores: Johal, Ramandeep S., Planes Vila, Antoni, Vives i Santa-Eulàlia, Eduard
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18741
Acceso en línea:https://hdl.handle.net/2445/18741
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Thermodynamics
Differentiable dynamical systems
id ES_c4e22c7565aee0cb38c5da59e47f288f
oai_identifier_str oai:recercat.cat:2445/18741
network_acronym_str ES
network_name_str España
repository_id_str
spelling Statistical mechanics in the extended Gaussian ensembleJohal, Ramandeep S.Planes Vila, AntoniVives i Santa-Eulàlia, EduardFísica estadísticaTermodinàmicaSistemes dinàmics diferenciablesStatistical physicsThermodynamicsDifferentiable dynamical systemsThe extended Gaussian ensemble (EGE) is introduced as a generalization of the canonical ensemble. This ensemble is a further extension of the Gaussian ensemble introduced by Hetherington [J. Low Temp. Phys. 66, 145 (1987)]. The statistical mechanical formalism is derived both from the analysis of the system attached to a finite reservoir and from the maximum statistical entropy principle. The probability of each microstate depends on two parameters ß and ¿ which allow one to fix, independently, the mean energy of the system and the energy fluctuations, respectively. We establish the Legendre transform structure for the generalized thermodynamic potential and propose a stability criterion. We also compare the EGE probability distribution with the q-exponential distribution. As an example, an application to a system with few independent spins is presented.The American Physical Society201120112003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion8 p.application/pdfhttps://hdl.handle.net/2445/18741Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.056113Physical Review E, 2003, vol. 67, núm. 5, p. 056113-1-056113-8http://dx.doi.org/10.1103/PhysRevE.68.056113(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:recercat.cat:2445/187412026-05-29T05:05:01Z
dc.title.none.fl_str_mv Statistical mechanics in the extended Gaussian ensemble
title Statistical mechanics in the extended Gaussian ensemble
spellingShingle Statistical mechanics in the extended Gaussian ensemble
Johal, Ramandeep S.
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Thermodynamics
Differentiable dynamical systems
title_short Statistical mechanics in the extended Gaussian ensemble
title_full Statistical mechanics in the extended Gaussian ensemble
title_fullStr Statistical mechanics in the extended Gaussian ensemble
title_full_unstemmed Statistical mechanics in the extended Gaussian ensemble
title_sort Statistical mechanics in the extended Gaussian ensemble
dc.creator.none.fl_str_mv Johal, Ramandeep S.
Planes Vila, Antoni
Vives i Santa-Eulàlia, Eduard
author Johal, Ramandeep S.
author_facet Johal, Ramandeep S.
Planes Vila, Antoni
Vives i Santa-Eulàlia, Eduard
author_role author
author2 Planes Vila, Antoni
Vives i Santa-Eulàlia, Eduard
author2_role author
author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Thermodynamics
Differentiable dynamical systems
topic Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Thermodynamics
Differentiable dynamical systems
description The extended Gaussian ensemble (EGE) is introduced as a generalization of the canonical ensemble. This ensemble is a further extension of the Gaussian ensemble introduced by Hetherington [J. Low Temp. Phys. 66, 145 (1987)]. The statistical mechanical formalism is derived both from the analysis of the system attached to a finite reservoir and from the maximum statistical entropy principle. The probability of each microstate depends on two parameters ß and ¿ which allow one to fix, independently, the mean energy of the system and the energy fluctuations, respectively. We establish the Legendre transform structure for the generalized thermodynamic potential and propose a stability criterion. We also compare the EGE probability distribution with the q-exponential distribution. As an example, an application to a system with few independent spins is presented.
publishDate 2003
dc.date.none.fl_str_mv 2003
2011
2011
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/2445/18741
url https://hdl.handle.net/2445/18741
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.056113
Physical Review E, 2003, vol. 67, núm. 5, p. 056113-1-056113-8
http://dx.doi.org/10.1103/PhysRevE.68.056113
dc.rights.none.fl_str_mv (c) The American Physical Society, 2003
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2003
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 8 p.
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869418940713664512
score 15,812429

Similares en LA Referencia