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On the application of nonextensive statistical mechanics to the black-body radiation

Author

Listed:
  • Chamati, H.
  • Djankova, A.Ts.
  • Tonchev, N.S.

Abstract

Some results for the black-body radiation obtained in the context of the nonextensive statistical mechanics (normalized approach) are analyzed. Since the obtained elsewhere thermodynamic potential can be expressed in terms of Wright's special function a useful asymptotic expansion can be obtained. This expansion allows to consider in a simple way the thermodynamic properties of the black-body radiation away from the Boltzmann–Gibbs limit q→1. The proposed approximation scheme is physically reasonable for the analysis of the cosmic background radiation. It is shown that while the internal energy remains extensive the application of the concepts of the nonextensive lead to the Td+1 Stefan–Boltzmann behavior.

Suggested Citation

  • Chamati, H. & Djankova, A.Ts. & Tonchev, N.S., 2006. "On the application of nonextensive statistical mechanics to the black-body radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 297-303.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:297-303
    DOI: 10.1016/j.physa.2005.06.042
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    References listed on IDEAS

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    1. Martı́nez, S. & Pennini, F. & Plastino, A. & Tessone, C., 2001. "Blackbody radiation in a nonextensive scenario," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 224-229.
    2. Wang, Qiuping A. & Nivanen, Laurent & Méhauté, Alain Le, 1998. "Generalized blackbody distribution within the dilute gas approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(3), pages 490-498.
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    Cited by:

    1. Bafghi, Seyed Mohammad Amin Tabatabaei & Kamalvand, Mohammad & Morsali, Ali & Bozorgmehr, Mohammad Reza, 2018. "Radial distribution function within the framework of the Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 857-867.

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