Brownian Motion in an External Field Revisited

In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a th...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos, Monteoliva, Diana, Hernando, Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119316
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-119316
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
spellingShingle Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
Plastino, Ángel Luis
Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
Brownian Motion in an External Field Revisited
topic_facet Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
description In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
author_sort Plastino, Ángel Luis
title Brownian Motion in an External Field Revisited
title_short Brownian Motion in an External Field Revisited
title_full Brownian Motion in an External Field Revisited
title_fullStr Brownian Motion in an External Field Revisited
title_full_unstemmed Brownian Motion in an External Field Revisited
title_sort brownian motion in an external field revisited
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/119316
work_keys_str_mv AT plastinoangelluis brownianmotioninanexternalfieldrevisited
AT roccamariocarlos brownianmotioninanexternalfieldrevisited
AT monteolivadiana brownianmotioninanexternalfieldrevisited
AT hernandoalberto brownianmotioninanexternalfieldrevisited
bdutipo_str Repositorios
_version_ 1764820448181223425

Ejemplares similares