On the uniqueness of Gibbs states in some dynamical systems

Autores
Mesón, Alejandro Mario; Vericat, Fernando
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].
Instituto de Física de Líquidos y Sistemas Biológicos
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
Materia
Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/139382
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/139382
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling On the uniqueness of Gibbs states in some dynamical systemsMesón, Alejandro MarioVericat, FernandoCiencias ExactasMatemáticaFísicathermodynamicsGibbs statesGrothendieck theoryBy applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].Instituto de Física de Líquidos y Sistemas BiológicosGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería2009-07-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf250-260http://sedici.unlp.edu.ar/handle/10915/139382enginfo:eu-repo/semantics/altIdentifier/issn/1072-3374info:eu-repo/semantics/altIdentifier/issn/1573-8795info:eu-repo/semantics/altIdentifier/doi/10.1007/s10958-009-9550-8info: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:UNLP2025-10-15T11:23:47Zoai:sedici.unlp.edu.ar:10915/139382Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:48.156SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the uniqueness of Gibbs states in some dynamical systems
title On the uniqueness of Gibbs states in some dynamical systems
spellingShingle On the uniqueness of Gibbs states in some dynamical systems
Mesón, Alejandro Mario
Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
title_short On the uniqueness of Gibbs states in some dynamical systems
title_full On the uniqueness of Gibbs states in some dynamical systems
title_fullStr On the uniqueness of Gibbs states in some dynamical systems
title_full_unstemmed On the uniqueness of Gibbs states in some dynamical systems
title_sort On the uniqueness of Gibbs states in some dynamical systems
dc.creator.none.fl_str_mv Mesón, Alejandro Mario
Vericat, Fernando
author Mesón, Alejandro Mario
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
topic Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
dc.description.none.fl_txt_mv By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].
Instituto de Física de Líquidos y Sistemas Biológicos
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
description By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].
publishDate 2009
dc.date.none.fl_str_mv 2009-07-31
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/10915/139382
url http://sedici.unlp.edu.ar/handle/10915/139382
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1072-3374
info:eu-repo/semantics/altIdentifier/issn/1573-8795
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10958-009-9550-8
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
250-260
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution 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 13.22299

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