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About a nonadditivity of energy and entropy

Author

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  • R. Wang
  • C. Ou
  • J. Chen
  • Q. Wang

Abstract

The mathematical expression of nonadditivity X(1 ∪ 2)=X(1) + X(2) + αX(1)X(2) has been frequently used for the development of statistical physics for nonadditive system, where X is entropy or energy, and α is hoped to be a parameter characterising the nonadditive property of the composite system (1 ∪ 2). Here we show that this relationship cannot hold exactly. In general, α in this expression inevitably depends on how a given system with constant X(1 ∪ 2) is divided into subsystems 1 and 2. Hence mathematical problems may arise when it is used to characterise the nonadditivity of the system. Nevertheless, under some conditions, it is possible to use it as a good approximation. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • R. Wang & C. Ou & J. Chen & Q. Wang, 2012. "About a nonadditivity of energy and entropy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(9), pages 1-4, September.
    • Handle: RePEc:spr:eurphb:v:85:y:2012:i:9:p:1-4:10.1140/epjb/e2012-20903-y
    DOI: 10.1140/epjb/e2012-20903-y
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    Cited by:

    1. Abu-Bakar, Siti Hawa & Muhammad-Sukki, Firdaus & Ramirez-Iniguez, Roberto & Mallick, Tapas Kumar & McLennan, Campbell & Munir, Abu Bakar & Mohd Yasin, Siti Hajar & Abdul Rahim, Ruzairi, 2013. "Is Renewable Heat Incentive the future?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 26(C), pages 365-378.

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    Keywords

    Statistical and Nonlinear Physics;

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