What is the role of chaotic scattering in irreversible processes?

被引：52

作者：

Gaspard, Pierre ^{[1
]}

机构：

[1] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

来源：

CHAOS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1063/1.165950

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study kinetic properties of simple mechanical models of deterministic diffusion like the scattering of a point particle in a billiard of Lorentz type and the multibaker area-preserving map. We show how dynamical chaos and, in particular, chaotic scattering are related to the transport property of diffusion. Moreover, we show that the Liouvillian dynamics of the multibaker map can be decomposed into the eigenmodes of diffusive relaxation associated with the Ruelle resonances of the Perron-Frobenius operator.

引用

页码：427 / 442

页数：16

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