Stability of regular vortex polygons in Bose-Einstein condensate

被引：3

作者：

Kilin, A. A. ^{[1
]}

Artemova, E. M. ^{[1
]}

机构：

[1] Udmurt State Univ, Ural Math Ctr, Ul Univ Skaya 1, Izhevsk 426034, Russia

来源：

IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA | 2020年 / 56卷

关键词：

vortex dynamics; Thomson configurations; Bose-Einstein condensate; linear stability; POINT-VORTICES; MODEL; RING;

D O I：

10.35634/2226-3594-2020-56-02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of the stability of rotating regular vortex N-gons (Thomson configurations) in a Bose-Einstein condensate in a harmonic trap. The dependence of the rotation velocity omega of the Thomson configuration around the center of the trap is obtained as a function of the number of vortices N and the radius of the configuration R. The analysis of the stability of motion of such configurations in the linear approximation is carried out. For N <= 6, regions of orbital stability of configurations in the parameter space are constructed. It is shown that vortex N-gons for N > 6 are unstable for any parameters of the system.

引用

页码：20 / 29

页数：10

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