Dynamical thermalization of disordered nonlinear lattices

被引：51

作者：

Mulansky, Mario ^{[1
]}

Ahnert, Karsten ^{[1
]}

Pikovsky, Arkady ^{[1
,2
]}

Shepelyansky, Dima L. ^{[2
,3
]}

机构：

[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam, Germany

[2] Univ Toulouse, Phys Theor Lab, IRSAMC, UPS, F-31062 Toulouse, France

[3] CNRS, LPT, IRSAMC, F-31062 Toulouse, France

来源：

PHYSICAL REVIEW E | 2009年 / 80卷 / 05期

关键词：

chaos; entropy; lattice theory; nonlinear dynamical systems; INTRABAND DISCRETE BREATHERS; ANDERSON LOCALIZATION; QUANTUM CHAOS; TRANSPORT; SYSTEMS; DELOCALIZATION; WAVES;

D O I：

10.1103/PhysRevE.80.056212

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 study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish emergence of dynamical thermalization characterized as an ergodic chaotic dynamical state with a Gibbs distribution over the modes. Our results show that the fraction of thermalizing modes is finite and grows with the nonlinearity strength.

引用

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