文章基本信息

标题：Kinetic theory and ergodic properties
本地全文：下载
作者：I. Prigogine ; A. P. Grecos ; Cl. George 等
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：1976
卷号：73
期号：6
页码：1802-1805
DOI：10.1073/pnas.73.6.1802
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：It is often assumed that the justification of kinetic theory lies in ergodic theory. From the properties of the collision operator, which plays a basic role in our kinetic description of dynamical systems, we show that this is not the case. We deduce that the asymptotic behavior of a class of states and observables is determined by the collisional invariants, independently of the ergodicity of the system. The relation between our conclusion and the stability concepts for classical Hamiltonian systems, introduced by Moser and others, is briefly indicated.
关键词：statistical mechanics ; ergodic theory ; dissipative systems