LYAPUNOV SPECTRUM OF THE DRIVEN LORENTZ GAS

被引：28

作者：

DELLAGO, C

GLATZ, L

POSCH, HA

机构：

[1] Institut für Experimentalphysik, Universität Wien, A-1090 Wien

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.52.4817

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：

A method for the evaluation of the full Lyapunov spectrum of an externally driven system with a hard-core interaction is presented. It is applied to the periodic Lorentz gas subjected to a homogeneous held and coupled to a Gaussian thermostat. The algorithm treats both the intercollisional streaming and the hard-core collisions exactly and can be easily generalized to many-body systems in nonequilibrium steady states interacting with hard-core potentials. From the Lyapunov spectrum of the Lorentz gas, the information dimension and the associated dimensionality reduction of the underlying fractal attractor were determined and compared to independent box-counting estimates for the same quantities.

引用

页码：4817 / 4826

页数：10

共 36 条

[11]

Evans D. J., 1990, STAT MECH NONEQUI LI

[12] VISCOSITY OF A SIMPLE FLUID FROM ITS MAXIMAL LYAPUNOV EXPONENTS [J].