Energy relaxation in discrete nonlinear lattices

被引：58
|
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
收藏
页码：1234 / 1237
页数：4
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