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Self-consistent thermodynamics for the Tsallis statistics in the grand canonical ensemble: Nonrelativistic hadron gas

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Abstract

In the present paper, the Tsallis statistics in the grand canonical ensemble was reconsidered in a general form. The thermodynamic properties of the nonrelativistic ideal gas of hadrons in the grand canonical ensemble was studied numerically and analytically in a finite volume and the thermodynamic limit. It was proved that the Tsallis statistics in the grand canonical ensemble satisfies the requirements of the equilibrium thermodynamics in the thermodynamic limit if the thermodynamic potential is a homogeneous function of the first order with respect to the extensive variables of state of the system and the entropic variable z = 1/(q − 1 is an extensive variable of state. The equivalence of canonical, microcanonical and grand canonical ensembles for the nonrelativistic ideal gas of hadrons was demonstrated.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russian Federation

    A. S. Parvan

  2. Department of Theoretical Physics, Horia Hulubei National Institute of Physics and Nuclear Engineering, 077125, Bucharest, Romania

    A. S. Parvan

  3. Institute of Applied Physics, Moldova Academy of Sciences, MD-2028, Chisinau, Republic of Moldova

    A. S. Parvan

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Correspondence to A. S. Parvan.

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Communicated by T.S. Biro

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Parvan, A.S. Self-consistent thermodynamics for the Tsallis statistics in the grand canonical ensemble: Nonrelativistic hadron gas. Eur. Phys. J. A 51, 108 (2015). https://doi.org/10.1140/epja/i2015-15108-x

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  • DOI: https://doi.org/10.1140/epja/i2015-15108-x

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