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論文資訊
- 類型：已發表論文
- 日期：2015-05-05
摘要
It is by now well known that the Boltzmann-Gibbs-von Neumann-Shannon logarithmic entropic functional (S-BG) is inadequate for wide classes of strongly correlated systems: see for instance the 2001 Brukner and Zeilinger's Conceptual inadequacy of the Shannon 資訊 in 量子 measurements, among many other systems exhibiting various forms of complexity. On the other hand, the Shannon and Khinchin axioms uniquely mandate the BG form S-BG = -k Sigma(i)p(i) ln p(i) ; the Shore and Johnson axioms follow the same path. Many natural, artificial and 社會 systems have been satisfactorily approached with nonadditive entropies such as the S-q - k1-Sigma(i) p(i)(q)/q-1 one (q is an element of R; S-1 - S-BG) basis of nonextensive 統計 mechanics. Consistently, the Shannon 1948 and Khinchine 1953 uniqueness theorems
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