Schrödinger link between nonequilibrium thermodynamics and Fisher information

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 groun...

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Detalles Bibliográficos
Autores principales: Frieden, B. R., Plastino, Ángel Luis, Plastino, Ángel Ricardo, Soffer, B. H.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Física
Ciencias Astronómicas
Equilibrium thermodynamics
Physics
Fisher information
Non-equilibrium thermodynamics
Schrödinger equation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125833
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125833
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Astronómicas
Equilibrium thermodynamics
Physics
Fisher information
Non-equilibrium thermodynamics
Schrödinger equation
spellingShingle Física
Ciencias Astronómicas
Equilibrium thermodynamics
Physics
Fisher information
Non-equilibrium thermodynamics
Schrödinger equation
Frieden, B. R.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Soffer, B. H.
Schrödinger link between nonequilibrium thermodynamics and Fisher information
topic_facet Física
Ciencias Astronómicas
Equilibrium thermodynamics
Physics
Fisher information
Non-equilibrium thermodynamics
Schrödinger equation
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.
format Articulo
Articulo
author Frieden, B. R.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Soffer, B. H.
author_facet Frieden, B. R.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Soffer, B. H.
author_sort Frieden, B. R.
title Schrödinger link between nonequilibrium thermodynamics and Fisher information
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
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/125833
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AT plastinoangelricardo schrodingerlinkbetweennonequilibriumthermodynamicsandfisherinformation
AT sofferbh schrodingerlinkbetweennonequilibriumthermodynamicsandfisherinformation
bdutipo_str Repositorios
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