1208.2533 (T. S. Biró et al.)

Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and
the Temperature of Quark-Gluon Plasma    [PDF]

T. S. Biró, G. G. Barnaföldi, P. Ván

We derive Tsallis entropy in a canonical treatment improved by subleading finite energy corrections. This approach selects out the Tsallis and R\'enyi entropy and interprets thermodynamically the temperature and the q parameter in terms of the temperature, T, entropy, S, and heat capacity, C of the ideal reservoir as T exp(-S/C) and q = 1-1/C. We apply this result for the temperature fitted to hadron energy spectra emerging from an idealized quark-gluon plasma, treated as in MIT bag model, as classical chaotic Yang-Mills system, and as a mini black hole.

View original: http://arxiv.org/abs/1208.2533