Three kinds of q-exponential type Boltzmann factors from the super-statistics and the q-deformed Maxwell Boltzmann distribution

Abstract

In this paper we use the super-statistics theory to obtain three q-exponential type Boltzmann factors. We apply three types of effective Boltzmann factors to the kinetic theory of an ideal gas. We also compute the most probable speeds, average speeds and averages of squared velocity and discuss the q-deformed equipartition theorem for three types Bolzmann factors.

Keywords

• Super-statistics, effective Boltzmann factor, non-extensive entropy, Boltzmann factor, Tsallis entropy, Maxwell-Boltzmann distribution,, equipartition theorem