Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

We evaluate the transport properties such as shear viscosity bulk viscosity and their ratios over entropy density (s) for hadronicmatter using relativistic nonextensive Boltzmann transport equation (NBTE) in relaxation time approximation (RTA). In NBTE, we argue that the system far from equilibrium may not reach to an equilibrium described by extensive (Boltzmann-Gibbs (BG)) statistics but to a q-equilibrium defined by Tsallis non-extensive statistics after subsequent evolution, where q denotes the degree of non-extensivity. We observe that and decrease rapidly with temperature (T) for various q-values. As q increases, the magnitudes of and decrease with T. We also show the upper mass cutoff dependence of these ratios for a particular q and find that they decrease with the increase in mass cutoff of hadrons. Further, we present the first estimation of isothermal compressibility (.T) using nonextensive Tsallis statistics at finite baryon chemical potential (mu B). It is observed that, T changes significantly with the degree of non-extensivity. We also study the squared speed of sound (c2 s) as a function of temperature at finite baryon chemical potential for various q and upper mass cutoffs. It is noticed that there is a strong impact of q and mass cutoff on the behaviour of c(s)(2).