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摘要翻译：
在这一贡献中，我们证明了n-体孤立系统的适当定义的非平衡熵一般不是运动常数，它的变化是有界的，这个界由热力学熵即平衡熵决定。我们将非平衡熵定义为N个粒子约化分布函数集(N=0,........,N）的凸泛函，推广了Gibbs细粒度熵公式。另外，作为我们微观分析的结果，我们发现这个非平衡熵表现为一个自由熵振子。在对平衡区的研究中，我们得到了Fokker-Planck型的松弛方程，特别是对于单粒子分布函数。
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英文标题：
《Statistical mechanical theory of an oscillating isolated system. The
relaxation to equilibrium》
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作者：
A. Perez-Madrid
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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：
In this contribution we show that a suitably defined nonequilibrium entropy of an N-body isolated system is not a constant of the motion in general and its variation is bounded, the bounds determined by the thermodynamic entropy, i.e., the equilibrium entropy. We define the nonequilibrium entropy as a convex functional of the set of n-particle reduced distribution functions (n=0,......., N) generalizing the Gibbs fine-grained entropy formula. Additionally, as a consequence of our microscopic analysis we find that this nonequilibrium entropy behaves as a free entropic oscillator. In the approach to the equilibrium regime we find relaxation equations of the Fokker-Planck type, particularly for the one-particle distribution function.
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PDF链接：
https://arxiv.org/pdf/709.1214
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