论文标题
稀气的动力学：一种统计方法
Dynamics of dilute gases: a statistical approach
论文作者
论文摘要
气体的演变可以通过不同模型来描述，具体取决于观察量表。希尔伯特（Hilbert）在他的第六个问题中提出的一个自然问题是这些模型是否提供了一致的预测。特别是，对于稀有气体，可以预期，动力学理论的连续性定律可以直接从由力学基本原理控制的分子动力学中获得。在硬球气体的情况下，兰福德表明，玻尔兹曼方程在低密度极限的大量法则中至少在很短的时间内出现。这项调查的目的是在理解这一限制过程的情况下介绍最新的进展，从而提供完整的统计描述。
The evolution of a gas can be described by different models depending on the observation scale. A natural question, raised by Hilbert in his sixth problem, is whether these models provide consistent predictions. In particular, for rarefied gases, it is expected that continuum laws of kinetic theory can be obtained directly from molecular dynamics governed by the fundamental principles of mechanics. In the case of hard sphere gases, Lanford showed that the Boltzmann equation emerges as the law of large numbers in the low density limit, at least for very short times. The goal of this survey is to present recent progress in the understanding of this limiting process, providing a complete statistical description.
