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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-09-15
摘要
There are at least three distinct ways to conceptualize 熵: 熵 as an extensive 熱力學 quantity of physical systems (Clausius, Boltzmann, Gibbs), 熵 as a measure for 資訊 production of 遍歷 sources (Shannon), and 熵 as a means for 統計 inference on multinomial processes (Jaynes maximum 熵 principle). Even though these notions represent fundamentally different concepts, the functional form of the 熵 for 熱力學 systems in equilibrium, for 遍歷 sources in 資訊 theory, and for independent sampling processes in 統計 systems, is degenerate, H(p) = - Sigma(i) p(i) log p(i). For many 複雜系統s, which are typically history-dependent, non遍歷, and nonmultinomial, this is no longer the case. Here we show that for such processes, the three 熵 concepts lead to different functional forms of 熵, which we will refer to as SEXT for extens
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