Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles

Autores
Pennini, Flavia Catalina; Plastino, Ángel Luis
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This is a purely analytical information theory work. We will uncover interesting links between Fisher’s measure and Gibbs’ ensembles, particulary the grand canonical and canonical ones, each offering distinct insights into a system’s properties. In this effort, we construct an informational connection between these ensembles, based on Fisher’s measure. We specifically explore the relationships among four key concepts: • The canonical and grand canonical ensembles. • Fisher information measures applied to three parameters (inverse temperature, particle number, and fugacity). • The Fano factor. • Special Poisson probability distributions (PDs) that are related to grand canonical PDs by having the same mean particle number ⟨N⟩. Our findings reveal intricate and compelling relationships among these concepts, providing new perspectives on the interplay between statistical mechanics and information theory.
Fil: Pennini, Flavia Catalina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Departamento de Física; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Fisher information
Gibbs ensembles
Information Theory
Poisson distribution
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/281476
Acceder
id CONICETDig_fa621edc2f3d7c72a667819167768279
oai_identifier_str oai:ri.conicet.gov.ar:11336/281476
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Analytical Information Links Between Fisher’s Measure and Gibbs’ EnsemblesPennini, Flavia CatalinaPlastino, Ángel LuisFisher informationGibbs ensemblesInformation TheoryPoisson distributionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1This is a purely analytical information theory work. We will uncover interesting links between Fisher’s measure and Gibbs’ ensembles, particulary the grand canonical and canonical ones, each offering distinct insights into a system’s properties. In this effort, we construct an informational connection between these ensembles, based on Fisher’s measure. We specifically explore the relationships among four key concepts: • The canonical and grand canonical ensembles. • Fisher information measures applied to three parameters (inverse temperature, particle number, and fugacity). • The Fano factor. • Special Poisson probability distributions (PDs) that are related to grand canonical PDs by having the same mean particle number ⟨N⟩. Our findings reveal intricate and compelling relationships among these concepts, providing new perspectives on the interplay between statistical mechanics and information theory.Fil: Pennini, Flavia Catalina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Departamento de Física; ArgentinaFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAcademic Press Inc Elsevier Science2025-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/281476Pennini, Flavia Catalina; Plastino, Ángel Luis; Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles; Academic Press Inc Elsevier Science; Journal of Catalysis; 1; 1; 10-2025; 1-140021-9517CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.primeopenaccess.com/scholarly-articles/analytical-information-links-between-fishers-measure-and-gibbs-ensembles.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-20T15:05:38Zoai:ri.conicet.gov.ar:11336/281476instacron: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:34982026-02-20 15:05:38.601CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
title Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
spellingShingle Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
Pennini, Flavia Catalina
Fisher information
Gibbs ensembles
Information Theory
Poisson distribution
title_short Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
title_full Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
title_fullStr Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
title_full_unstemmed Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
title_sort Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles
dc.creator.none.fl_str_mv Pennini, Flavia Catalina
Plastino, Ángel Luis
author Pennini, Flavia Catalina
author_facet Pennini, Flavia Catalina
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Luis
author2_role author
dc.subject.none.fl_str_mv Fisher information
Gibbs ensembles
Information Theory
Poisson distribution
topic Fisher information
Gibbs ensembles
Information Theory
Poisson distribution
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This is a purely analytical information theory work. We will uncover interesting links between Fisher’s measure and Gibbs’ ensembles, particulary the grand canonical and canonical ones, each offering distinct insights into a system’s properties. In this effort, we construct an informational connection between these ensembles, based on Fisher’s measure. We specifically explore the relationships among four key concepts: • The canonical and grand canonical ensembles. • Fisher information measures applied to three parameters (inverse temperature, particle number, and fugacity). • The Fano factor. • Special Poisson probability distributions (PDs) that are related to grand canonical PDs by having the same mean particle number ⟨N⟩. Our findings reveal intricate and compelling relationships among these concepts, providing new perspectives on the interplay between statistical mechanics and information theory.
Fil: Pennini, Flavia Catalina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Departamento de Física; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description This is a purely analytical information theory work. We will uncover interesting links between Fisher’s measure and Gibbs’ ensembles, particulary the grand canonical and canonical ones, each offering distinct insights into a system’s properties. In this effort, we construct an informational connection between these ensembles, based on Fisher’s measure. We specifically explore the relationships among four key concepts: • The canonical and grand canonical ensembles. • Fisher information measures applied to three parameters (inverse temperature, particle number, and fugacity). • The Fano factor. • Special Poisson probability distributions (PDs) that are related to grand canonical PDs by having the same mean particle number ⟨N⟩. Our findings reveal intricate and compelling relationships among these concepts, providing new perspectives on the interplay between statistical mechanics and information theory.
publishDate 2025
dc.date.none.fl_str_mv 2025-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/281476
Pennini, Flavia Catalina; Plastino, Ángel Luis; Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles; Academic Press Inc Elsevier Science; Journal of Catalysis; 1; 1; 10-2025; 1-14
0021-9517
CONICET Digital
CONICET
url http://hdl.handle.net/11336/281476
identifier_str_mv Pennini, Flavia Catalina; Plastino, Ángel Luis; Analytical Information Links Between Fisher’s Measure and Gibbs’ Ensembles; Academic Press Inc Elsevier Science; Journal of Catalysis; 1; 1; 10-2025; 1-14
0021-9517
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.primeopenaccess.com/scholarly-articles/analytical-information-links-between-fishers-measure-and-gibbs-ensembles.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1857677366348742656
score 12.9253

Publicaciones similares