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Simultaneous Effects of Temperature and Pressure on the Entropy and the Specific Heat of a Three-Dimensional Quantum Wire: Tsallis Formalism

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Abstract

In this work, the finite-difference time domain (FDTD) has been employed to calculate the energy levels and wave functions of a three-dimensional (3D) cylindrical quantum wire. The inside of the wire is at zero potential, and the background medium is 4.6 eV. This is a true 3D procedure based on a direct implementation of the time-dependent Schrödinger equation. Here, the dependence on the pressure and the temperature of the electronic effective mass is used. We study the effects temperature and pressure simultaneously on the entropy and the specific heat of the system using the Tsallis formalism. The results show that (i) the specific heat obtained by Tsallis has a peak structure. (ii) The entropy has almost the same values at very low temperatures with different pressures. (iii) The peak value of the specific heat with enhancing the pressure shifts toward lower temperatures. (iv) The peak value of the specific heat and its position depend on the value of the entropic index q.

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Authors and Affiliations

  1. Department of Physics, College of Sciences, Yasouj University, 75914-353, Yasouj, Iran

    R. Khordad & Ar. Firoozi

  2. Department of Physics, Jahrom University, 74137-66171, Jahrom, Iran

    H. R. Rastegar Sedehi

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  1. R. Khordad
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  2. Ar. Firoozi
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  3. H. R. Rastegar Sedehi
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Correspondence to R. Khordad.

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Khordad, R., Firoozi, A. & Sedehi, H.R.R. Simultaneous Effects of Temperature and Pressure on the Entropy and the Specific Heat of a Three-Dimensional Quantum Wire: Tsallis Formalism. J Low Temp Phys 202, 185–195 (2021). https://doi.org/10.1007/s10909-020-02536-w

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