Schrödinger link between nonequilibrium thermodynamics and Fisher information

Autores
Frieden, B.R.; Plastino, Ángel Ricardo; Plastino, Ángel Ricardo; Soffer, B.H.
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground-state solution, and nonequilibrium thermodynamics corresponds to excited-state solutions, of a Schrödinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium and nonequilibrium situations can thereby be tackled by one formalism that clearly exhibits the fact that thermodynamics and quantum mechanics can both be expressed in terms of a formal SWE, out of a common informational basis. As an application, we discuss viscosity in dilute gases.
Fil: Frieden, B.R.. University of Arizona; Estados Unidos
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. University of Arizona; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Soffer, B.H.. University of Arizona; Estados Unidos
Materia
Non-equilibirum Thermodynamics
Fisher Information
Schroedinger Equation
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:11336/100102
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100102
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Schrödinger link between nonequilibrium thermodynamics and Fisher informationFrieden, B.R.Plastino, Ángel RicardoPlastino, Ángel RicardoSoffer, B.H.Non-equilibirum ThermodynamicsFisher InformationSchroedinger Equationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground-state solution, and nonequilibrium thermodynamics corresponds to excited-state solutions, of a Schrödinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium and nonequilibrium situations can thereby be tackled by one formalism that clearly exhibits the fact that thermodynamics and quantum mechanics can both be expressed in terms of a formal SWE, out of a common informational basis. As an application, we discuss viscosity in dilute gases.Fil: Frieden, B.R.. University of Arizona; Estados UnidosFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. University of Arizona; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Soffer, B.H.. University of Arizona; Estados UnidosAmerican Physical Society2002-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100102Frieden, B.R.; Plastino, Ángel Ricardo; Plastino, Ángel Ricardo; Soffer, B.H.; Schrödinger link between nonequilibrium thermodynamics and Fisher information; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 66; 4; 10-2002; 1-81063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.66.046128info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.046128info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:30Zoai:ri.conicet.gov.ar:11336/100102instacron: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:34982025-09-29 09:43:31.147CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Schrödinger link between nonequilibrium thermodynamics and Fisher information
title Schrödinger link between nonequilibrium thermodynamics and Fisher information
spellingShingle Schrödinger link between nonequilibrium thermodynamics and Fisher information
Frieden, B.R.
Non-equilibirum Thermodynamics
Fisher Information
Schroedinger Equation
title_short Schrödinger link between nonequilibrium thermodynamics and Fisher information
title_full Schrödinger link between nonequilibrium thermodynamics and Fisher information
title_fullStr Schrödinger link between nonequilibrium thermodynamics and Fisher information
title_full_unstemmed Schrödinger link between nonequilibrium thermodynamics and Fisher information
title_sort Schrödinger link between nonequilibrium thermodynamics and Fisher information
dc.creator.none.fl_str_mv Frieden, B.R.
Plastino, Ángel Ricardo
Plastino, Ángel Ricardo
Soffer, B.H.
author Frieden, B.R.
author_facet Frieden, B.R.
Plastino, Ángel Ricardo
Soffer, B.H.
author_role author
author2 Plastino, Ángel Ricardo
Soffer, B.H.
author2_role author
author
dc.subject.none.fl_str_mv Non-equilibirum Thermodynamics
Fisher Information
Schroedinger Equation
topic Non-equilibirum Thermodynamics
Fisher Information
Schroedinger Equation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground-state solution, and nonequilibrium thermodynamics corresponds to excited-state solutions, of a Schrödinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium and nonequilibrium situations can thereby be tackled by one formalism that clearly exhibits the fact that thermodynamics and quantum mechanics can both be expressed in terms of a formal SWE, out of a common informational basis. As an application, we discuss viscosity in dilute gases.
Fil: Frieden, B.R.. University of Arizona; Estados Unidos
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. University of Arizona; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Soffer, B.H.. University of Arizona; Estados Unidos
description It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground-state solution, and nonequilibrium thermodynamics corresponds to excited-state solutions, of a Schrödinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium and nonequilibrium situations can thereby be tackled by one formalism that clearly exhibits the fact that thermodynamics and quantum mechanics can both be expressed in terms of a formal SWE, out of a common informational basis. As an application, we discuss viscosity in dilute gases.
publishDate 2002
dc.date.none.fl_str_mv 2002-10
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/11336/100102
Frieden, B.R.; Plastino, Ángel Ricardo; Plastino, Ángel Ricardo; Soffer, B.H.; Schrödinger link between nonequilibrium thermodynamics and Fisher information; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 66; 4; 10-2002; 1-8
1063-651X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100102
identifier_str_mv Frieden, B.R.; Plastino, Ángel Ricardo; Plastino, Ángel Ricardo; Soffer, B.H.; Schrödinger link between nonequilibrium thermodynamics and Fisher information; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 66; 4; 10-2002; 1-8
1063-651X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.66.046128
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.046128
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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
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score 13.070432

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