Features of constrained entropic functional variational problems

We describe in great generality features concerning constrained entropic, functional variational problems that allow for a broad range of applications. Our discussion encompasses not only entropies but, potentially, any functional of the probability distribution, like Fisher-information or relative...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Ricardo, Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
Legendre polynomials
Physics
Statistical physics
Probability distribution
Range (mathematics)
Beta (velocity)
Generality
Computer science
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125085
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125085
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Legendre polynomials
Physics
Statistical physics
Probability distribution
Range (mathematics)
Beta (velocity)
Generality
Computer science
spellingShingle Física
Legendre polynomials
Physics
Statistical physics
Probability distribution
Range (mathematics)
Beta (velocity)
Generality
Computer science
Plastino, Ángel Ricardo
Plastino, Ángel Luis
Rocca, Mario Carlos
Features of constrained entropic functional variational problems
topic_facet Física
Legendre polynomials
Physics
Statistical physics
Probability distribution
Range (mathematics)
Beta (velocity)
Generality
Computer science
description We describe in great generality features concerning constrained entropic, functional variational problems that allow for a broad range of applications. Our discussion encompasses not only entropies but, potentially, any functional of the probability distribution, like Fisher-information or relative entropies, etc. In particular, in dealing with generalized statistics in straightforward fashion one may sometimes find that the first thermal law $\frac{dS}{d\beta}=\beta\frac{d }{d\beta}$ seems to be not respected. We show here that, on the contrary, it is indeed obeyed by any system subject to a Legendre extremization process, i.e., in all constrained entropic variational problems.
format Articulo
Preprint
author Plastino, Ángel Ricardo
Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Ricardo
Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Ricardo
title Features of constrained entropic functional variational problems
title_short Features of constrained entropic functional variational problems
title_full Features of constrained entropic functional variational problems
title_fullStr Features of constrained entropic functional variational problems
title_full_unstemmed Features of constrained entropic functional variational problems
title_sort features of constrained entropic functional variational problems
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/125085
work_keys_str_mv AT plastinoangelricardo featuresofconstrainedentropicfunctionalvariationalproblems
AT plastinoangelluis featuresofconstrainedentropicfunctionalvariationalproblems
AT roccamariocarlos featuresofconstrainedentropicfunctionalvariationalproblems
bdutipo_str Repositorios
_version_ 1764820449988968448

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