Soliton mobility in disordered lattices

被引：8

作者：

Sun, Zhi-Yuan ^{[1
]}

Fishman, Shmuel ^{[1
]}

Soffer, Avy ^{[2
]}

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-320000 Haifa, Israel

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

PHYSICAL REVIEW E | 2015年 / 92卷 / 04期

基金：

以色列科学基金会; 美国国家科学基金会;

关键词：

DISCRETE BREATHERS; PHOTONIC LATTICES; LOCALIZATION;

D O I：

10.1103/PhysRevE.92.040903

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 investigate soliton mobility in the disordered Ablowitz-Ladik (AL) model and the standard nonlinear Schrodinger (NLS) lattice with the help of an effective potential generalizing the Peierls-Nabarro potential. This potential results from a deviation from integrability, which is due to randomness for the AL model, and both randomness and lattice discreteness for the NLS lattice. The statistical properties of such a potential are analyzed, and it is shown how the soliton mobility is affected by its size. The usefulness of this effective potential in studying soliton dynamics is demonstrated numerically. Furthermore, we propose two ways to enhance soliton transport in the presence of disorder: one is to use specific realizations of randomness, and the other is to consider a specific soliton pair.

引用

页数：5

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