q-thermostatistics and the analytical treatment of the ideal Fermi gas

We discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occup...

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Detalles Bibliográficos
Autores principales:	Martínez, S., Pennini, Flavia, Plastino, Ángel Luis, Portesi, Mariela Adelina
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2004
Materias:	Ciencias Exactas Física Tsallis’ generalized statistics Optimized Lagrange multipliers approach Thermodynamics Ideal Fermi gas
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/131430
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-131430
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 Tsallis’ generalized statistics Optimized Lagrange multipliers approach Thermodynamics Ideal Fermi gas
spellingShingle	Ciencias Exactas Física Tsallis’ generalized statistics Optimized Lagrange multipliers approach Thermodynamics Ideal Fermi gas Martínez, S. Pennini, Flavia Plastino, Ángel Luis Portesi, Mariela Adelina q-thermostatistics and the analytical treatment of the ideal Fermi gas
topic_facet	Ciencias Exactas Física Tsallis’ generalized statistics Optimized Lagrange multipliers approach Thermodynamics Ideal Fermi gas
description	We discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q ∼ 1 (the conventional Fermi–Dirac statistics corresponds to q = 1). We compare our findings with previous Tsallis’ literature.
format	Articulo Articulo
author	Martínez, S. Pennini, Flavia Plastino, Ángel Luis Portesi, Mariela Adelina
author_facet	Martínez, S. Pennini, Flavia Plastino, Ángel Luis Portesi, Mariela Adelina
author_sort	Martínez, S.
title	q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_short	q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_full	q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_fullStr	q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_full_unstemmed	q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_sort	q-thermostatistics and the analytical treatment of the ideal fermi gas
publishDate	2004
url	http://sedici.unlp.edu.ar/handle/10915/131430
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bdutipo_str	Repositorios
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q-thermostatistics and the analytical treatment of the ideal Fermi gas

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