Conjugate pairing in the three-dimensional periodic Lorentz gas

被引：13

作者：

Dettmann, CP

Morriss, GP

Rondoni, L

机构：

[1] School of Physics, University of New South Wales, Sydney

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.52.R5746

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We numerically evaluate the Lyapunov exponents for the three-dimensional periodic Lorentz gas in an electric field, with a Gaussian thermostat. For small values of the field, the dynamics appears to be ergodic. For larger fields there are chaotic and periodic windows. The Lyapunov exponents are found to obey the conjugate pairing rule in both chaotic and stable regions, indicating that conjugate pairing can occur for small systems, and is not restricted to the large N limit.

引用

页码：R5746 / R5748

页数：3

共 11 条

[1]

ABRAHAM R, 1978, F MECHANICS

[2] STATISTICAL PROPERTIES OF THE PERIODIC LORENTZ GAS - MULTIDIMENSIONAL CASE [J].