Magnetic vortices

被引：55
作者：
Barros, M. [1 ]
Romero, A. [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Geometria & Topol, E-18071 Granada, Spain
来源：
EPL | 2007年 / 77卷 / 03期
关键词：
D O I：
10.1209/0295-5075/77/34002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In spaces with constant curvature, magnetic trajectories of a Killing magnetic field are showed to be centerlines of Kirchhoff elastic rods. If the space is also simply connected, then a Killing magnetic flow is proved to be equivalent with the Kirchhoff elastic rod variational model. This allows to see Killing magnetic flows as vortex. lament flows and so use the Hasimoto transformation to state the solitonic nature of the magnetic trajectories as solutions of the cubic Schrodinger equation.
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页数：5
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