Eur. Phys. J. Plus (2018) 133: 157
https://doi.org/10.1140/epjp/i2018-12006-2

Regular Article

Study of the statistical physics bases on superstatistics from the -fluctuated to the T-fluctuated form

¹ Faculty of Physics, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran
² Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea

^* e-mail: sepideh9123904@yahoo.com

Received: 17 February 2018
Accepted: 19 March 2018
Published online: 23 April 2018

Abstract

In this paper, we study the T -fluctuated form of superstatistics. In this form, some thermodynamic quantities such as the Helmholtz energy, the entropy and the internal energy, are expressed in terms of the T -fluctuated form for a canonical ensemble. In addition, the partition functions in the formalism for 2-level and 3-level distributions are derived. Then we make use of the T -fluctuated superstatistics for a quantum harmonic oscillator problem and the thermal properties of the system for three statistics of the Bose-Einstein, Maxwell-Boltzmann and Fermi-Dirac statistics are calculated. The effect of the deformation parameter on these properties is examined. All the results recover the well-known results by removing the deformation parameter.