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Relativistic particle in thermal non-equilibrium

Author

Listed:
  • Mohammadikhabaz, E.
  • Lari, B.
  • Hassanabadi, H.

Abstract

We consider a relativistic spin 1/2 particle in the 1D-box potential in thermal non-equilibrium conditions. Using Tsallis statistics, we investigate the convexity and concavity of the deformed partition function and other thermodynamic properties of the system. We propose an upper bound to calculate the partition function integral that satisfies the Tsallis conditions. We geometrically prove that the average energy of the system depends on q-regions (Ũq>1≤Ũq=1≤Ũq<1).

Suggested Citation

  • Mohammadikhabaz, E. & Lari, B. & Hassanabadi, H., 2022. "Relativistic particle in thermal non-equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    • Handle: RePEc:eee:phsmap:v:593:y:2022:i:c:s0378437122000334
    DOI: 10.1016/j.physa.2022.126906
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    References listed on IDEAS

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    1. Tristant, Damien & Brito, Francisco A., 2014. "Some electronic properties of metals through q-deformed algebras," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 276-286.
    2. Shen, Ke-Ming & Zhang, Ben-Wei & Wang, En-Ke, 2017. "Generalized ensemble theory with non-extensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 215-224.
    3. Castaño-Yepes, Jorge David & Amor-Quiroz, D.A., 2020. "Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    4. Bediaga, I. & Curado, E.M.F. & de Miranda, J.M., 2000. "A nonextensive thermodynamical equilibrium approach in e+e−→ hadrons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 156-163.
    5. Antonopoulos, Chris G. & Skokos, Charalampos & Bountis, Tassos & Flach, Sergej, 2017. "Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statistics," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 129-134.
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    Cited by:

    1. Lari, B. & Chung, W.S. & Hassanabadi, H., 2024. "Quantum gates based on two strongly coupled harmonic oscillators in thermal non-equilibrium conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).

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