Regular Article

Low temperature behavior of entropy and specific heat of a three dimensional quantum wire: Shannon and Tsallis entropies

¹ Department of Physics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
² Department of Physics, College of Sciences, Yasouj University, Yasouj 75918-74934, Iran
³ Department of Physics, Jahrom University, 74137-66171 Jahrom, Iran
⁴ Department of Physics, Persian Gulf University, 75196 Bushehr, Iran

^a e-mail: rezakh2025@yahoo.com

Received: 13 January 2020
Received in final form: 29 April 2020
Published online: 15 June 2020

Abstract

In this work, we first use the finite-differential time-domain (FDTD) to calculate the eigenenergies and eigenfunctions of a three dimensional (3D) cylindrical quantum wire. We assume that the inside of the wire is at zero potential. But, the outside of the wire has been chosen at different potentials as infinite and finite values. This is a true 3D procedure based on a direct implementation of the time-dependent Schrödinger equation. Then, we apply the Shannon and Tsallis entropy to obtain entropy and specific of the system. The results show that (i) the specific heat obtained by Tsallis has a peak structure. (ii) The entropy behavior for the finite and infinite confining potential has the same behavior at low temperatures. (iii) The peak value of specific heat increases with enhancing the quantum wire radius.