Wave-vector resonance in a nonlinear multiwavespeed chaotic billiard

被引：0

作者：

Akolzin, A ^{[1
]}

Weaver, RL ^{[1
]}

机构：

[1] Univ Illinois, Dept Theoret & Appl Mech, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW E | 2006年 / 73卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.73.025202

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：

Nonlinear coupling between eigenmodes of a system leads to spectral energy redistribution. For multiwavespeed chaotic billiards, the average coupling strength can exhibit sharp discontinuities as a function of frequency related to wave-vector coincidences between constituent waves of different wavespeeds. The phenomenon is investigated numerically for an ensemble of two-dimensional square two-wavespeed billiards with rough boundaries and quadratic nonlinearity representative of elastodynamic waves. Results of direct numerical simulations are compared with theoretical predictions.

引用

页数：4

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