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Tsallis nonextensive thermostatistics, Pauli principle and the structure of the Fermi surface

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  • Pennini, F.
  • Plastino, A.
  • Plastino, A.R.

Abstract

In connection with Tsallis' generalized statistical mechanics, we discuss the associated quantal distribution functions and show, by recourse to elementary considerations, that nonextensivity entails apparent violations to the Pauli principle. The typical zero temperature sharp Fermi surface is seen to be a limiting case in which the nonextensivity parameter achieves that value for which the Boltzmann-Gibbs statistics is recovered.

Suggested Citation

  • Pennini, F. & Plastino, A. & Plastino, A.R., 1996. "Tsallis nonextensive thermostatistics, Pauli principle and the structure of the Fermi surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 471-479.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:471-479
    DOI: 10.1016/S0378-4371(96)00264-6
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    1. Hassan, S.A. & Kuperman, M.N. & Wio, H.S. & Zanette, D.H., 1994. "Evolution of reaction-diffusion patterns in infinite and bounded domains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 380-400.
    2. Lapenta, G. & Kaniadakis, G. & Quarati, P., 1996. "Stochastic evolution of systems of particles obeying an exclusion principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 323-335.
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    Cited by:

    1. Guha, Atanu & Das, Prasanta Kumar, 2018. "An extensive study of Bose–Einstein condensation in liquid helium using Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 272-284.
    2. Rovenchak, Andrij & Sobko, Bohdana, 2019. "Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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