聖塔非研究所

摘要 The nature of statistics, 統計 mechanics and conseq

2018-08-24 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The nature of statistics, 統計 mechanics and consequently the 熱力學s of 隨機 systems is largely determined by how the number of states W(N) depends on the size N of the system. Here we propose …

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論文資訊

  • 類型:已發表論文
  • 日期:2018-08-24

摘要

The nature of statistics, 統計 mechanics and consequently the 熱力學s of 隨機 systems is largely determined by how the number of states W(N) depends on the size N of the system. Here we propose a 縮放律 expansion of the phasespace volume W(N) of a 隨機 system. The corresponding expansion coefficients (exponents) define the universality class the system belongs to. Systems within the same universality class share the same statistics and 熱力學s. For sub-exponentially growing systems such expansions have been shown to exist. By using the 縮放律 expansion this classification can be extended to all 隨機 systems, including correlated, constraint and super-exponential systems. The extensive 熵 of these systems can be easily expressed in terms of these 縮放律 exponents. Systems with super-exponential phasespace growth c

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