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Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit

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Autor(es):
Lima, J. A. S. [1] ; Deppman, A. [2]
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Univ Sao Paulo, Dept Astron, IAG, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo - Brazil
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 101, n. 4 APR 23 2020.
Citações Web of Science: 0
Resumo

Nonadditive Tsallis q-statistics has successfully been applied for a plethora of systems in natural sciences and other branches of knowledge. Nevertheless, its foundations have been severely criticized by some authors based on the standard additive Boltzmann-Gibbs approach, thereby remaining a quite controversial subject. In order to clarify some polemical concepts, the distribution function for an ideal gas with a finite number of point particles and its q-index are analytically determined. The two-particle correlation function is also derived. The degree of correlation diminishes continuously with the growth of the number of particles. The ideal finite gas system is usually correlated, becomes less correlated when the number of particles grows, and is finally fully uncorrelated when the molecular chaos regime is reached. It is also advocated that both approaches can be confronted through a careful kinetic spectroscopic experiment. The analytical results derived here suggest that Tsallis q-statistics may play a physical role more fundamental than usually discussed in the literature. (AU)

Processo FAPESP: 11/51676-9 - LLAMA: um radiotelescópio para ondas mm/sub-mm nos Andes, em colaboração com a Argentina
Beneficiário:Jacques Raymond Daniel Lépine
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 16/17612-7 - Dinâmica de sistemas de muitos corpos IV
Beneficiário:Arnaldo Gammal
Linha de fomento: Auxílio à Pesquisa - Temático