Breathers on lattices with long range interaction

被引：59

作者：

Flach, S ^{[1
]}

机构：

[1] Max Planck Inst Phys Complex Syst, D-01187 Dresden, Germany

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.58.R4116

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 analyze the properties of breathers (time periodic spatially localized solutions) on chains in the presence of algebraically decaying interactions 1/r(s). We find that the spatial decay of a breather shows a crossover from exponential (short distances) to algebraic (large distances) decay. We calculate the crossover distance as a function of s and the energy of the breather. Next we show that the results on energy thresholds obtained for short range interactions remain valid for s>3 and that for s<3 (fractal dispersion at the band edge) nonzero thresholds occur for cases where the short range interaction system would yield zero threshold values. [S1063-651X(98)51010-0].

引用

页码：R4116 / R4119

页数：4

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