Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients

被引：13

作者：

Aoki, K ^{[1
]}

Kusnezov, D

机构：

[1] Keio Univ, Dept Phys, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan

[2] Yale Univ, Sloane Phys Lab, Ctr Theoret Phys, New Haven, CT 06520 USA

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.68.056204

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：

An explicit relation between the dimensional loss (DeltaD), entropy production, and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of DeltaD in systems with bulk behavior follows from the relation. The maximum Lyapunov exponents in thermal equilibrium and DeltaD in nonequilibrium depend on the choice of heat baths, while their product is unique and macroscopic. Finite-size corrections are also computed and all results are verified numerically.

引用

页数：6

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