The q-Statistics and QCD Thermodynamics at LHC

Abstract

We perform a Taylor series expansion of Tsallis distribution by assuming the Tsallis parameter $q$ close to 1. The $q$ value shows the deviation of a system from a thermalised Boltzmann distribution. By taking up to first order in $(q-1)$, we derive an analytical result for Tsallis distribution including radial flow. Further, in the present work, we also study the speed of sound ($c_s$) as a function of temperature using the non-extensive Tsallis statistics for different $q$ values and for different mass cut-offs.

4 pages, 4 figures. To be published in the Proceedings of the 11th Workshop on Particle Correlations and Femtoscopy (WPCF 2015), 03-07 Nov 2015, Warsaw, Poland