文章基本信息

标题：Entropy, Dynamics, and Molecular Chaos
本地全文：下载
作者：F. Henin ; I. Prigogine
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1974
卷号：71
期号：7
页码：2618-2622
DOI：10.1073/pnas.71.7.2618
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：With the help of simple probabilistic models of Kac and McKean, we discuss the meaning of the generalized expression for entropy that was recently introduced by our group and compare it with Boltzmann's expression. We emphasize the fact that Boltzmann's formulation in terms of the single particle distribution function, f1, requires very restricted assumptions about the preparation of the system (chaos) and the nature of the collision mechanism (Markov processes). Our generalized [unk]-theorem, however, refers to the complete system; in general, it does not lead to an [unk]-theorem for the single particle distribution function, f1. It is valid whatever the preparation of the system. In McKean's model, situations exist where it gives the correct behavior while the Boltzmann's expression for entropy becomes meaningless. In addition, in Kac's model, we show that correlations reach equilibrium more rapidly than f1 and that there is an asymptotic regime where both formulations give the same result.
关键词：symmetry breaking and [unk]-theorem ; McKean-Kac models