About a nonadditivity of energy and entropy
Ou, C. J.
Chen, J. C.
Wang, Q. A.
- 物理技术－已发表论文 
The mathematical expression of nonadditivity X(1 boolean OR 2) - X(1) + X(2) + alpha X(1) X(2) has been frequently used for the development of statistical physics for nonadditive system, where X is entropy or energy, and a is hoped to be a parameter characterising the nonadditive property of the composite system (1 boolean OR 2). Here we show that this relationship cannot hold exactly. In general, a in this expression inevitably depends on how a given system with constant X(1 boolean OR 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.
CitationEUROPEAN PHYSICAL JOURNAL B，2012,85（9）