https://doi.org/10.1140/epjc/s10052-018-6411-y
Regular Article - Theoretical Physics
Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics
1
Discipline of Physics, School of Basic Sciences, Indian Institute of Technology Indore, Simrol, Indore, 453552, India
2
Department of Physical Sciences, Indian Institute of Science Education and Research Mohali, Mohali, 140306, India
* e-mail: Raghunath.Sahoo@cern.ch
Received:
11
April
2018
Accepted:
5
November
2018
Published online:
15
November
2018
We evaluate the transport properties such as shear viscosity (
), bulk viscosity (
) and their ratios over entropy density (s) for hadronic matter using relativistic non-extensive 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 (
) using non-extensive Tsallis statistics at finite baryon chemical potential (
). It is observed that, changes significantly with the degree of non-extensivity. We also study the squared speed of sound (
) 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 .
© The Author(s), 2018
