Dark breathers in granular crystals

被引:33
作者
Chong, C. [1 ]
Kevrekidis, P. G. [1 ]
Theocharis, G. [2 ]
Daraio, Chiara [3 ,4 ]
机构
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
[2] Univ Maine, Acoust Lab, UMR CNRS, F-72085 Le Mans, France
[3] Swiss Fed Inst Technol, Dept Mech & Proc Engn, CH-8092 Zurich, Switzerland
[4] CALTECH, Pasadena, CA 91125 USA
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 04期
基金
美国国家科学基金会;
关键词
DISCRETE BREATHERS; SOLITARY WAVES; LOCALIZATION; EXISTENCE; LATTICES; CHAIN;
D O I
10.1103/PhysRevE.87.042202
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 present a study of the existence, stability, and bifurcation structure of families of dark breathers in a one-dimensional uniform chain of spherical beads under static load. A defocusing nonlinear Schrodinger equation (NLS) is derived for frequencies that are close to the edge of the phonon band and is used to construct targeted initial conditions for numerical computations. Salient features of the system include the existence of large amplitude solutions that emerge from the small amplitude solutions described by the NLS equation, and the presence of a nonlinear instability that, to the best of the authors' knowledge, has not been observed in classical Fermi-Pasta-Ulam lattices. Finally, it is also demonstrated that these dark breathers can be detected in a physically realistic experimental settings by merely actuating the ends of an initially at rest chain of beads and inducing destructive interference between their signals. DOI: 10.1103/PhysRevE.87.042202
引用
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页数:12
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