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Study of the statistical physics bases on superstatistics from the \(\beta\)-fluctuated to the T-fluctuated form

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Abstract.

In this paper, we study the T -fluctuated form of superstatistics. In this form, some thermodynamic quantities such as the Helmholtz energy, the entropy and the internal energy, are expressed in terms of the T -fluctuated form for a canonical ensemble. In addition, the partition functions in the formalism for 2-level and 3-level distributions are derived. Then we make use of the T -fluctuated superstatistics for a quantum harmonic oscillator problem and the thermal properties of the system for three statistics of the Bose-Einstein, Maxwell-Boltzmann and Fermi-Dirac statistics are calculated. The effect of the deformation parameter on these properties is examined. All the results recover the well-known results by removing the deformation parameter.

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Authors and Affiliations

  1. Faculty of Physics, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran

    S. Sargolzaeipor & H. Hassanabadi

  2. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea

    W. S. Chung

Authors
  1. S. Sargolzaeipor
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  2. H. Hassanabadi
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  3. W. S. Chung
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Correspondence to S. Sargolzaeipor.

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Sargolzaeipor, S., Hassanabadi, H. & Chung, W.S. Study of the statistical physics bases on superstatistics from the \(\beta\)-fluctuated to the T-fluctuated form. Eur. Phys. J. Plus 133, 157 (2018). https://doi.org/10.1140/epjp/i2018-12006-2

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  • DOI: https://doi.org/10.1140/epjp/i2018-12006-2

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