Planar Skyrmions: vibrational modes and dynamics

被引：5

作者：

Piette, BMAG ^{[1
]}

Ward, RS ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 201卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

Skyrmions; solitons; vibrations; scattering;

D O I：

10.1016/j.physd.2004.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Skyrmion dynamics in a (2 + 1)-dimensional Skyrme model. The system contains a dimensionless parameter alpha, with alpha = 0 corresponding to the 0(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter-this depends on a and on the incident speed v, and is affected by transfer of energy to and from the internal vibrational modes of the Skyrmions. We classify these internal modes and compute their spectrum, for a range of values of ce. In particular, we find that there is a fractal-like structure of scattering windows, analogous to those seen for kink-antikink scattering in 1 + 1 dimensions. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：45 / 55

页数：11

共 23 条

[1] FRACTAL STRUCTURE IN THE SCALAR LAMBDA(PHI-2-1)2 THEORY [J].