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Some thermodynamics modifications by the least length assumption via the microcanonical scheme

Author

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  • Mirtorabi, M.
  • Miraboutalebi, S.
  • Masoudi, A.A.
  • Matin, L. Farhang

Abstract

Here, we consider a quantum gravity effect that leads to the correction of the number of possible microstates for some microcanonical ensembles. Via the quantum gravity theories, it is existed a physical least length, that as a presupposition, modifies the momentums of the constituent elements of a statistical ensemble. This generalized momentum modifies the ordinary volume element of the phase space and affects the density of the present microstates. Consequently, the macroscopic properties of the ensemble are corrected which especially could be seen for high energy systems. Here, the induced modifications to the density of states are obtained for the microcanonical ensembles of the ideal gas, harmonic oscillator, and ultrarelativistic ideal gas. In each case, the changes induced to the volume of the momentum hyperspace are approximately calculated and their outgoings thermodynamics are also discussed. The results are compared with the corresponding canonical formalism. Besides, as an application, we investigate the modification of the spectrum of blackbody radiation, by using the Bose–Einstein statistics.

Suggested Citation

  • Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Matin, L. Farhang, 2020. "Some thermodynamics modifications by the least length assumption via the microcanonical scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    • Handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s037843711931581x
    DOI: 10.1016/j.physa.2019.122787
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    References listed on IDEAS

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    1. Lynden-Bell, D., 1999. "Negative specific heat in astronomy, physics and chemistry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 293-304.
    2. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Farhang Matin, L., 2018. "Quantum gravity modifications of the relativistic ideal gas thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 602-612.
    3. Farhang Matin, L. & Miraboutalebi, S., 2015. "Statistical aspects of harmonic oscillator under minimal length supposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 425(C), pages 10-17.
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