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原文連結
論文資訊
- 類型：已發表論文
- 日期：2011
摘要
Superstatistics describes 統計 systems that behave like superpositions of different inverse temperatures beta, so that the probability distribution is p(epsilon(i)) alpha integral(infinity)(0)f(beta)e(-beta epsilon i)d beta, where the "kernel" f(beta) is nonnegative and normalized [integral f(beta)d beta = 1]. We discuss the relation between this distribution and the generalized entropic form S = Sigma(i)s(p(i)). The first three Shannon-Khinchin axioms are assumed to hold. It then turns out that for a given distribution there are two different ways to construct the 熵. One approach uses escort probabilities and the other does not; the question of which to use must be decided empirically. The two approaches are related by a duality. The 熱力學 properties of the system can be quite different for t
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