Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial

Abstract It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy < U > diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter...

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Detalles Bibliográficos
Autores principales:	Plastino, Ángel Luis, Rocca, Mario Carlos
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2018
Materias:	Ciencias Exactas Física q-Statistics divergences partition function dimensional regularization specific heat
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125764
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125764
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Física q-Statistics divergences partition function dimensional regularization specific heat
spellingShingle	Ciencias Exactas Física q-Statistics divergences partition function dimensional regularization specific heat Plastino, Ángel Luis Rocca, Mario Carlos Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
topic_facet	Ciencias Exactas Física q-Statistics divergences partition function dimensional regularization specific heat
description	Abstract It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy < U > diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and < U > both depend on a Γ-function. This Γ, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Γ-function. (1) A > 0, (2) A < 0 and Γ > 0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.
format	Articulo Preprint
author	Plastino, Ángel Luis Rocca, Mario Carlos
author_facet	Plastino, Ángel Luis Rocca, Mario Carlos
author_sort	Plastino, Ángel Luis
title	Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_short	Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_full	Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_fullStr	Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_full_unstemmed	Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_sort	hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
publishDate	2018
url	http://sedici.unlp.edu.ar/handle/10915/125764
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bdutipo_str	Repositorios
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Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial

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