Nonextensive statistics of relativistic ideal gas
Statistical Mechanics
2015-05-13 v1
Abstract
We obtain the specific heat in the third constraint scenario for a canonical ensemble of a nonextensive extreme relativistic ideal gas in a closed form. The canonical ensemble of N particles in D dimensions is well-defined for the choice of the deformation parameter in the range 0 < q < 1 + 1 / DN. For a relativistic ideal gas with particles of arbitrary mass a perturbative scheme in the nonextensivity parameter (1 - q) is developed by employing an infinite product expansion of the q-exponential, and a direct transformation of the internal energy from the second to the third constraint picture. All thermodynamic quantities may be uniformly evaluated to any desired perturbative order.
Keywords
Cite
@article{arxiv.0908.0081,
title = {Nonextensive statistics of relativistic ideal gas},
author = {R. Chakrabarti and R. Chandrashekar and S. S. Naina Mohammed},
journal= {arXiv preprint arXiv:0908.0081},
year = {2015}
}