Energy relaxation in discrete nonlinear lattices

被引：59

作者：

Bikaki, A

Voulgarakis, NK

Aubry, S

Tsironis, GP

机构：

[1] Univ Crete, Dept Phys, Heraklion 71003, Crete, Greece

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Ctr Etud Saclay, CEA, CNRS, Leon Brillouin Lab, F-91191 Gif Sur Yvette, France

[4] Fdn Res & Technol Hellas, Heraklion 71003, Crete, Greece

来源：

PHYSICAL REVIEW E | 1999年 / 59卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.59.1234

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 investigate energy relaxation in discrete nonlinear lattices in one and two spatial dimensions. We find that energy relaxation follows a stretched exponential law, and we study its dependence on the initial temperature. We attribute this behavior to hierarchies of discrete breathers that relax with different time constants, leading to a hierarchy of relaxation time scales in the system. Using heuristic arguments, we derive a nonlinear diffusion equation for the local energy density of the oscillators that results in similar relaxation dynamics. [S1063-651X(98)14712-8].

引用

页码：1234 / 1237

页数：4

共 15 条

[1] Slow motion as a thermal gradient effect [J].