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

Author

Listed:
  • Mojtaba Servatkhah

    (Marvdasht Branch, Islamic Azad University)

  • Reza Khordad

    (College of Sciences, Yasouj University)

  • Arezoo Firoozi

    (College of Sciences, Yasouj University)

  • Hamid Reza Rastegar Sedehi

    (Jahrom University)

  • Ahmad Mohammadi

    (Persian Gulf University)

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. Graphical abstract

Suggested Citation

  • Mojtaba Servatkhah & Reza Khordad & Arezoo Firoozi & Hamid Reza Rastegar Sedehi & Ahmad Mohammadi, 2020. "Low temperature behavior of entropy and specific heat of a three dimensional quantum wire: Shannon and Tsallis entropies," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(6), pages 1-7, June.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:6:d:10.1140_epjb_e2020-10034-5
    DOI: 10.1140/epjb/e2020-10034-5
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    Cited by:

    1. Collins Okon Edet & Salman Mahmoud & Etido P. Inyang & Norshamsuri Ali & Syed Alwee Aljunid & Rosdisham Endut & Akpan Ndem Ikot & Muhammad Asjad, 2022. "Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method," Mathematics, MDPI, vol. 10(15), pages 1-10, August.

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    Keywords

    Mesoscopic and Nanoscale Systems;

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