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arXiv · 1607.01264

Axiomatic nonextensive statistics at NICA energies

Abdel Nasser Tawfik
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Abstract

We discuss the possibility of implementing axiomatic nonextensive statistics, where it is conjectured that the phase-space volume determines the (non)extensive entropy, on the particle production at NICA energies. Both Boltzmann-Gibbs and Tsallis statistics are very special cases of this generic (non)extensivity. We conclude that the lattice thermodynamics is {\it ab initio} extensive and additive and thus the nonextensive approaches including Tsallis statistics categorically are not matching with them, while the particle production, for instance the particle ratios at various center-of-mass energies, is likely a nonextensive process but certainly not of Tsallis type. The resulting freezeout parameters, the temperature and the chemical potentials, are approximately compatible with the ones deduced from Boltzmann-Gibbs statistics.

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Abdel Nasser Tawfik. 2016-06-30. Axiomatic nonextensive statistics at NICA energies. https://doi.org/10.1140/epja/i2016-16253-4

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