摘要 For 統計 systems that violate one of the four Shann

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論文資訊

• 類型：已發表論文
• 日期：2012

摘要

For 統計 systems that violate one of the four Shannon-Khinchin axioms, 熵 takes a more general form than the Boltzmann-Gibbs 熵. The framework of superstatistics allows one to formulate a maximum 熵 principle with these generalized entropies, making them useful for understanding distribution functions of non-馬可夫ian or non遍歷 複雜系統s. For such systems where the composability axiom is violated there exist only two ways to implement the maximum 熵 principle, one using escort probabilities, the other not. The two ways are connected through a duality. Here we show that this duality fixes a unique escort probability, which allows us to derive a complete theory of the generalized logarithms that naturally arise from the violation of this axiom. We then show how the functional forms of these generalized lo

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