Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form

In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon’s or Tsallis’ cases. Further, with reference to the Maximum Entropy (Ma...

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Autores principales: Plastino, Ángel Luis, Plastino, Ángel Ricardo, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Reciprocity relations
Maximum Entropy
Non trace form entropic functionals
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125053
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125053
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Reciprocity relations
Maximum Entropy
Non trace form entropic functionals
spellingShingle Física
Reciprocity relations
Maximum Entropy
Non trace form entropic functionals
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Rocca, Mario Carlos
Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
topic_facet Física
Reciprocity relations
Maximum Entropy
Non trace form entropic functionals
description In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon’s or Tsallis’ cases. Further, with reference to the Maximum Entropy (MaxEnt) variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies. We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.
format Articulo
Preprint
author Plastino, Ángel Luis
Plastino, Ángel Ricardo
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Plastino, Ángel Ricardo
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_short Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_full Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_fullStr Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_full_unstemmed Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_sort reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/125053
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AT plastinoangelricardo reciprocityrelationsandgeneralizedclassicentropicquantifiersthatlacktraceform
AT roccamariocarlos reciprocityrelationsandgeneralizedclassicentropicquantifiersthatlacktraceform
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