Eur. Phys. J. C (2018) 78: 106
https://doi.org/10.1140/epjc/s10052-018-5581-y

Regular Article - Theoretical Physics

Effects of cosmic-string framework on the thermodynamical properties of anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches

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, Jinju, 52828, Korea

^* e-mail: hadisobhani8637@gmail.com

Received: 21 July 2017
Accepted: 23 January 2018
Published online: 6 February 2018

Abstract

In this article, we determine the thermodynamical properties of the anharmonic canonical ensemble within the cosmic-string framework. We use the ordinary statistics and the q-deformed superstatistics for this study. The q-deformed superstatistics is derived by modifying the probability density in the original superstatistics. The Schrödinger equation is rewritten in the cosmic-string framework. Next, the anharmonic oscillator is investigated in detail. The wave function and the energy spectrum of the considered system are derived using the bi-confluent Heun functions. In the next step, we first determine the thermodynamical properties for the canonical ensemble of the anharmonic oscillator in the cosmic-string framework using the ordinary statistics approach. Also, these quantities have been obtained in the q-deformed superstatistics. For vanishing deformation parameter, the ordinary results are obtained.