聖塔非研究所

摘要 A large deviation connection of 統計 mechanics is p

2012 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 A large deviation connection of 統計 mechanics is provided by N independent binary variables, the (N infinity) limit yielding Gaussian distributions. The probability of n not equal N/2 out …

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  • 類型:已發表論文
  • 日期:2012

摘要

A large-deviation connection of 統計 mechanics is provided by N independent binary variables, the (N -> infinity) limit yielding Gaussian distributions. The probability of n not equal N/2 out of N throws is governed by e(-Nr), r related to the 熵. Large deviations for a strong correlated model characterized by indices (Q, gamma) are studied, the (N -> infinity) limit yielding Q-Gaussians (Q -> 1 recovers a Gaussian). Its large deviations are governed by e(q)(-Nrq) (proportional to 1/N1/(q-1), q > 1), q = (Q - 1)/(gamma[3 - Q]) + 1. This illustration opens the door towards a large-deviation foundation of nonextensive 統計 mechanics.

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