Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics

被引：54

作者：

Dettmann, CP

Morriss, GP

机构：

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

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 03期

关键词：

MOLECULAR-DYNAMICS; CONSTANT-TEMPERATURE; CANONICAL ENSEMBLE; SYSTEMS;

D O I：

10.1103/PhysRevE.55.3693

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：

The Nose Hamiltonian is adapted, leading to a derivation of the Nose-Hoover equations of motion which does not involve time transformations, and in which the degree of freedom corresponding to the external reservoir is treated on the same footing as those of the rest of the system. In this form it is possible to prove the conjugate pairing rule for Lyapunov exponents of this system.

引用

页码：3693 / 3696

页数：4

共 24 条

[11]

Goldstein H., 1980, Classical Mechanics, V2nd

[12] THERMOSTATTED MOLECULAR-DYNAMICS - HOW TO AVOID THE TODA DEMON HIDDEN IN NOSE-HOOVER DYNAMICS [J].