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Astrophysical thermonuclear functions for Boltzmann–Gibbs statistics and Tsallis statistics

Author

Listed:
  • Saxena, R.K.
  • Mathai, A.M.
  • Haubold, H.J.

Abstract

We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann–Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high energies find a natural interpretation in q-statistics.

Suggested Citation

  • Saxena, R.K. & Mathai, A.M. & Haubold, H.J., 2004. "Astrophysical thermonuclear functions for Boltzmann–Gibbs statistics and Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 649-656.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:3:p:649-656
    DOI: 10.1016/j.physa.2004.06.047
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    Cited by:

    1. Mathai, A.M. & Haubold, H.J., 2008. "Pathway parameter and thermonuclear functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2462-2470.
    2. Mathai, A.M. & Haubold, H.J., 2007. "Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 110-122.

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