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V. Correlation Induced by Nonextensivity and the Zeroth Law of Thermodynamics

Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 560)

Abstract

To establish the zeroth law of thermodynamics in nonextensive statistical mechanics, it is essential to realize factorization of the Tsallis probability distribution. Here, the factorizability and the property of correlation induced by nonextensivity are discussed. Employing the classical gas model, it is shown how the correlation is suppressed in the thermodynamic limit.

Keywords

Internal Energy Generalize Entropy Thermodynamic Limit Maximum Entropy Principle Extensive Limit 
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References

  1. 1.
    C. Tsallis, J. Stat. Phys. 52, 479 (1988).zbMATHCrossRefMathSciNetADSGoogle Scholar
  2. 2.
    C. Tsallis, R. S. Mendes, and A. R. Plastino, Physica A 261, 534 (1998).CrossRefGoogle Scholar
  3. 3.
    S. Abe, Physica A 269, 403 (1999).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • S. Abe
    • 1
  1. 1.College of Science and TechnologyNihon UniversityChibaJapan

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