Microcanonical ensemble based on the superstatistics with the free Hamiltonian as a stochastic variable
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea
2 Department of Mechanical Engineering, Faculty of Technology, Pamukkale University, Kinikli Campus, 20160, Denizli, Turkey
Accepted: 6 May 2022
Published online: 23 May 2022
In this work, the general procedure for obtaining the superstatistical density of states, where the probability density function has the nonzero variance, is first developed. We then discuss the microcanonical ensemble based on the superstatistics with the free Hamiltonian as a stochastic variable. Finally, some applications of the formalism presented here are analyzed in detail within the framework of different probability distributions such as three states distribution, the Gamma distribution, the q-deformed Dirac delta distribution and the Poisson distribution.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022