聖塔非研究所

摘要 Using a simple probabilistic model, we illustrate

2015-04-25 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Using a simple probabilistic model, we illustrate that a small part of a strongly correlated manybody classical system can show a paradoxical behavior, namely asymptotic 隨機 independence. …

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  • 類型:已發表論文
  • 日期:2015-04-25

摘要

Using a simple probabilistic model, we illustrate that a small part of a strongly correlated manybody classical system can show a paradoxical behavior, namely asymptotic 隨機 independence. We consider a triangular array such that each row is a list of n strongly correlated random variables. The correlations are preserved even when n -> infinity, since the standard central limit theorem does not hold for this array. We show that, if we choose a fixed number m < n of random variables of the nth row and trace over the other n - m variables, and then consider n -> infinity, the m chosen ones can, paradoxically, turn out to be independent. However, the scenario can be different if m increases with n. Finally, we suggest a possible experimental verification of our results near 臨界性 of a second-orde

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