The q-Statistics and QCD Thermodynamics at LHC

TL;DR

This paper derives an analytical form of the Tsallis distribution with radial flow near thermal equilibrium and studies the speed of sound in QCD matter using non-extensive statistics at LHC energies.

Contribution

It introduces a first-order expansion of the Tsallis distribution including radial flow and analyzes the speed of sound in QCD matter for different q-values.

Findings

Derived an analytical Tsallis distribution with radial flow near q=1

Studied the temperature dependence of the speed of sound for various q-values

Provided insights into non-extensive effects in QCD thermodynamics

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.