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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-10-01
摘要
We briefly review the connection between 統計 mechanics and 熱力學s. We show that, in order to satisfy thermo-dynamics and its Legendre transformation 數學 frame, the celebrated Boltzmann-Gibbs (BG) 統計 mechanics is sufficient but not necessary. Indeed, the N -> a limit of 統計 mechanics is expected to be consistent with 熱力學s. For systems whose elements are generically independent or quasi-independent in the sense of the theory of probabilities, it is well known that the BG theory (based on the additive BG 熵) does satisfy this expectation. However, in complete analogy, other thermo統計 theories (e.g., q-statistics), based on nonadditive entropic functionals, also satisfy the very same expectation. We illustrate this standpoint with systems whose elements are strongly correlated in a specific manner, s
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