Lyapunov spectrum and the conjugate pairing rule for a thermostatted random Lorentz gas: Kinetic theory

被引：29

作者：

Latz, A

vanBeijeren, H

Dorfman, JR

机构：

[1] UNIV MARYLAND,DEPT PHYS,COLLEGE PK,MD 20742

[2] UNIV UTRECHT,INST THEORET PHYS,NL-3508 TA UTRECHT,NETHERLANDS

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.78.207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We calculate all four nonzero Lyapunov exponents for a three-dimensional, dilute, random Lorentz gas by combining dynamical systems and Boltzmann equation methods. in the presence of an external field and a Gaussian thermostat the Lyapunov exponents, calculated up to second order in the applied field, satisfy a conjugate pairing rule. Agreement of the results obtained here with those of computer simulations of Dellago and Posch [following Letter, Phys. Rev. Lett. 78, 211 (1997)].

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页码：207 / 210

页数：4

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