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• W3017947685 abstract "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." @default.
• W3017947685 created "2020-05-01" @default.
• W3017947685 creator A5061335711 @default.
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• W3017947685 date "2020-04-23" @default.
• W3017947685 modified "2023-10-16" @default.
• W3017947685 title "Tsallis meets Boltzmann: <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math> -index for a finite ideal gas and its thermodynamic limit" @default.
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• W3017947685 doi "https://doi.org/10.1103/physreve.101.040102" @default.
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