摘要翻译:
气体分子、自由电子等在长时间间隔内(比平均自由飞行时间大得多)的真实热运动,与其流行的数学模型相反,本质上是非高斯统计量。本文仅根据微观动力学的确定性和可逆性,并顺便导出了分子布朗粒子路径概率分布的维里展开式,对这一说法提出了一个简单的证明。
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英文标题:
《A truth about Brownian motion in gases and in general》
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作者:
Yuriy E. Kuzovlev
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
Real thermal motion of gas molecules, free electrons, etc., at long time intervals (much greater than mean free-flight time) possesses, contrary to its popular mathematical models, essentially non-Gaussian statistics. A simple proof of this statement is suggested basing on only the determinism and reversibility of microscopic dynamics and besides incidentally derived virial expansion of a path probability distribution of molecular Brownian particle.
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PDF链接:
https://arxiv.org/pdf/710.3831