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.

Non-extensive statistics in free-electron metals and thermal effective mass

“…The transverse momentum spectra of the secondaries created in high energy p + p(p) [4][5][6][7][8], e + + e − collisions [9,10] are better described by the nonextensive Tsallis statistics [11]. In addition, non-extensive arXiv:1809.08096v3 [cond-mat.stat-mech] 8 Apr 2019 statistics with radial flow successfully describes the spectra at intermediate p T in heavy-ion collisions [12,13]. Tsallis distributions have also been used to study speed of sound in Hadronic matter [14].…”

Statistical Scrutiny of Particle Spectra in ep Collisions

“…Biró et al [18] and Shen et al [19] have studied particle production in heavy-ion collisions in terms of Tsallis non-extensive entropy in relation to the temperature T, and the non-extensivity parameter q. It has been extensively used to study the particle spectra produced in different types of collisions, from e + e − , pp, pA to AA to understand the mechanism of particle production [20][21][22][23][24][25][26].…”