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Non-extensive thermostatistics: brief review and comments

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  • Tsallis, Constantino

Abstract

We briefly review, with regard to physical applications, the present status of the recently introduced non-extensive thermostatistics characterized by the entropic index q (q = 1 corresponds to standard, extensive, Boltzmann-Gibbs thermostatistics). In addition to that, we comment on (i) how meta-equilibrium-equilibrium crossovers may occur as a function of time, (ii) spin glasses and the replica trick, and (iii) the theory of perceptions.

Suggested Citation

  • Tsallis, Constantino, 1995. "Non-extensive thermostatistics: brief review and comments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 277-290.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:1:p:277-290
    DOI: 10.1016/0378-4371(95)00236-Z
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    References listed on IDEAS

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    1. Plastino, A.R. & Plastino, A., 1995. "Non-extensive statistical mechanics and generalized Fokker-Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 347-354.
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    Cited by:

    1. Takahashi, Taiki, 2009. "Tsallis’ non-extensive free energy as a subjective value of an uncertain reward," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 715-719.
    2. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Sarafopoulos, D. & Pavlos, E.G., 2012. "Tsallis statistics and magnetospheric self-organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3069-3080.
    3. 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.
    4. Scherrer, T.M. & França, G.S. & Silva, R. & de Freitas, D.B. & Vilar, C.S., 2015. "Nonextensivity at the Circum-Pacific subduction zones—Preliminary studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 63-71.

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