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arXiv 0808.1673cond-mat.stat-mech
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广义熵结构与Jaynes公式的非一般性

Generalized entropic structures and non-generality of Jaynes' Formalism

Thomas Oikonomou, Ugur Tirnakli

摘要:

适当的熵泛函的极值化可以产生使相应的熵结构最大化的概率分布函数。这个过程在统计力学和信息论中被称为Jaynes形式主义,并且到目前为止已经成为推导上述分布的标准方法。然而,这种形式主义的结果并不总是与以下不同的方法获得的一致。在这项研究中,我们详细分析了这些不一致的地方,并证明了杰恩斯的形式主义导致正确的结果,只有特定的熵定义。

英文摘要:

The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in Statistical Mechanics and Information Theory as Jaynes' Formalism and has been up to now a standard methodology for deriving the aforementioned distributions. However, the results of this formalism do not always coincide with the ones obtained following different approaches. In this study we analyse these inconsistencies in detail and demonstrate that Jaynes' formalism leads to correct results only for specific entropy definitions.

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