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Inherent correlations between thermodynamics and statistical physics in extensive and nonextensive systems

Author

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

Abstract

With the help of a general expression of the entropies in extensive and nonextensive systems, some important relations between thermodynamics and statistical mechanics are revealed through the views of thermodynamics and statistical physics. These relations are proved through the MaxEnt approach once again. It is found that for a reversible isothermal process, the information contained in the first and second laws of thermodynamics and the MaxEnt approach is equivalent. Moreover, these relations are used to derive the probability distribution functions in nonextensive and extensive statistics and calculate the generalized forces of some interesting systems. The results obtained are of universal significance.

Suggested Citation

  • Huang, Zhifu & Ou, Congjie & Méhauté, A. Le & Wang, Qiuping A. & Chen, Jincan, 2009. "Inherent correlations between thermodynamics and statistical physics in extensive and nonextensive systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2331-2336.
  • Handle: RePEc:eee:phsmap:v:388:y:2009:i:12:p:2331-2336
    DOI: 10.1016/j.physa.2009.03.009
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    Cited by:

    1. Lucia, Umberto, 2010. "Maximum entropy generation and κ-exponential model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4558-4563.

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