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A basic problem in the correlations between statistics and thermodynamics

Author

Listed:
  • Ou, Congjie
  • Huang, Zhifu
  • Chen, Jincan
  • El Kaabouchi, A.
  • Nivanen, L.
  • Le Méhauté, A.
  • Wang, Qiuping A.

Abstract

By using a functional of probability distributions, several different statistical physics including extensive and nonextensive statistics are unified in a general formalism. It’s shown that the equivalence between the Maxent approach and the relation dU=TdS can be seen from the virtual work principle of mechanics. From dU=TdS, any entropic form which can exists for thermodynamical equilibrium system can be maximized in order to derive the probability distribution functions.

Suggested Citation

  • Ou, Congjie & Huang, Zhifu & Chen, Jincan & El Kaabouchi, A. & Nivanen, L. & Le Méhauté, A. & Wang, Qiuping A., 2009. "A basic problem in the correlations between statistics and thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2313-2318.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2313-2318
    DOI: 10.1016/j.chaos.2008.09.034
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    References listed on IDEAS

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    1. Lenzi, E.K. & Mendes, R.S. & da Silva, L.R., 2000. "Statistical mechanics based on Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(3), pages 337-345.
    2. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
    3. 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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