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原文連結
論文資訊
- 類型：已發表論文
- 日期：2011
摘要
Motivated by the hope that the 熱力學al framework might be extended to strongly interacting 統計 systems - 複雜系統s in particular - a number of generalized entropies has been proposed in the past. So far the understanding of their fundamental origin has remained unclear. Here we address this question from first principles. We start by observing that many 統計 systems fulfill a set of three general conditions (Shannon-Khinchin axioms, K1-K3). A fourth condition (separability) holds for non-interacting, uncorrelated or 馬可夫ian systems only (Shannon-Khinchin axiom, K4). If all four axioms hold the Shannon theorem provides a unique 熵, S = Sigma(W)(i) pi In pi, i.e. Boltzmann-Gibbs 熵. Here we ask about the consequences of violating the 4th axiom while assuming the first three to hold. By a simple 縮放律 argu
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