Axiomatic nonextensive statistics at NICA energies

TL;DR

This paper explores the application of axiomatic nonextensive statistics to particle production at NICA energies, concluding that while particle ratios suggest nonextensivity, Tsallis statistics do not match lattice thermodynamics, and standard Boltzmann-Gibbs results are consistent.

Contribution

It introduces an axiomatic framework for nonextensive statistics at NICA energies and compares its implications with Boltzmann-Gibbs and Tsallis statistics.

Findings

Lattice thermodynamics remains extensive and additive.

Particle ratios indicate nonextensive behavior, but not of Tsallis type.

Freezeout parameters align with Boltzmann-Gibbs predictions.

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.