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Two long-standing problems in Tsallis’ statistics

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  • Ou, Congjie
  • Chen, Jincan

Abstract

On the basis of Tsallis’ entropy and the joint probability factorization condition, two controversial problems existing in Tsallis’ statistics are investigated, where one is whether energy is extensive or not and the other is whether it is necessary to introduce the so-called generalized zeroth law of thermodynamics or not. The results obtained show clearly that like entropy, energy is also nonextensive in Tsallis’ statistics, and that the zeroth law of thermodynamics has been implicitly used in Tsallis’ statistics since 1988. Moreover, it is expounded that the standard energy additivity rule adopted by a great number of researchers is not suitable in Tsallis’ statistics, because its corollary is in contradiction with the zeroth law of thermodynamics.

Suggested Citation

  • Ou, Congjie & Chen, Jincan, 2006. "Two long-standing problems in Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 525-529.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:525-529
    DOI: 10.1016/j.physa.2006.03.065
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    Cited by:

    1. Huang, Zhifu & Lin, Bihong & Chen, Jincan, 2009. "A new expression of the probability distribution in Incomplete Statistics and fundamental thermodynamic relations," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1277-1281.

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