Discrete breathers in a model with Morse potentials

Under harmonic approximation, this paper discusses the linear dispersion relation of the one-dimensional chain. The existence and evolution of discrete breathers in a general one-dimensional chain are analysed for two particular examples of soft （Morse） and hard （quartic） on-site potentials. The exi...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 2; pp. 381 - 387
Main Author 吕彬彬 邓艳平 田强
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.02.2010
Subjects
Approximation
Breathers
Chains
Harmonics
Lattices
Mathematical analysis
Mathematical models
Two dimensional
呼吸链
数值方法
旋转波近似
演化分析
色散关系
莫尔斯
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/2/026302

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Summary:Under harmonic approximation, this paper discusses the linear dispersion relation of the one-dimensional chain. The existence and evolution of discrete breathers in a general one-dimensional chain are analysed for two particular examples of soft （Morse） and hard （quartic） on-site potentials. The existence of discrete breathers in one-dimensional and two-dimensional Morse lattices is proved by using rotating wave approximation, local anharmonic approximation and a numerical method. The localization and amplitude of discrete breathers in the two-dimensional Morse lattice with on-site harmonic potentials correlate closely to the Morse parameter a and the on-site parameter к.
Bibliography:discrete breathers Morse lattice square lattice on-site potential
TN917
11-5639/O4
O431
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/2/026302