聖塔非研究所

交互作用範圍對經典多體系統溫度統計的影響

2013-09-08 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We numerically study a one dimensional system of N classical localized planar rotators coupled through interactions which decay with distance as 1/r(alpha) (alpha = 0). The approach is a …

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  • 類型:已發表論文
  • 日期:2013-09-08

摘要

We numerically study a one-dimensional system of N classical localized planar rotators coupled through interactions which decay with distance as 1/r(alpha) (alpha >= 0). The approach is a first principle one (i.e., based on Newton's law), and yields the probability distribution of momenta. For alpha large enough and N >> 1 we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann-Gibbs thermostatistics. But, for alpha small or comparable to unity, we observe instead robust fat-tailed distributions that are quite well fitted with q-Gaussians. These distributions extremize, under appropriate simple constraints, the nonadditive 熵 S-q upon which nonextensive 統計 mechanics is based. The whole scenario appears to be consistent with non遍歷ity and with the thesis of the

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