About a nonadditivity of energy and entropy

R. Wang, C. Ou, J. Chen and Q. Wang ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2012, vol. 85, issue 9, 1-4

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

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1140/epjb/e2012-20903-y

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