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...
Guardado en:
Autores principales: | , , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2021
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/119316 |
Aporte de: |
id |
I19-R120-10915-119316 |
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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 |