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Temperature definition and fundamental thermodynamic relations in incomplete statistics

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  • Ou, Congjie
  • Chen, Jincan
  • Wang, Qiuping A.

Abstract

Within the incomplete statistics characterized by the normalization ∑ipiq=1, a precise mathematical calculation related to the partial differential of the partition function with respect to the internal energy is provided. A concomitant definition of the physical temperature and several important fundamental thermodynamic relations are given.

Suggested Citation

  • Ou, Congjie & Chen, Jincan & Wang, Qiuping A., 2006. "Temperature definition and fundamental thermodynamic relations in incomplete statistics," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 518-521.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:2:p:518-521
    DOI: 10.1016/j.chaos.2005.07.009
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    References listed on IDEAS

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    1. Wang, Q.A. & Nivanen, L. & Le Méhauté, A. & Pezeril, M., 2004. "Fractal geometry, information growth and nonextensive thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 117-125.
    2. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
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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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