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arXiv 0911.2377cond-mat.mes-hall
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三种磁涡旋的Groebli解

Groebli solution for three magnetic vortices

S. Komineas, N. Papanicolaou

摘要:

流体中N个点涡的动力学由Helmholtz-Kirchhoff(HK)方程描述,当N=2或3时,该方程导致完全可积的Hamilton系统,但当N>3时,该方程导致混沌动力学。在这里,我们考虑一个广义的HK方程来描述集体坐标近似下的磁涡旋的动力学。特别是,我们详细分析了一个系统的三个磁涡的动力学适当推广的解决方案,在一个普通的流体中获得的Groebli一个多世纪前的三点涡。我们的结果的意义的铁磁元素的动力学进行了简要讨论。

英文摘要:

The dynamics of N point vortices in a fluid is described by the Helmholtz-Kirchhoff (HK) equations which lead to a completely integrable Hamiltonian system for N=2 or 3 but chaotic dynamics for N>3. Here we consider a generalization of the HK equations to describe the dynamics of magnetic vortices within a collective-coordinate approximation. In particular, we analyze in detail the dynamics of a system of three magnetic vortices by a suitable generalization of the solution for three point vortices in an ordinary fluid obtained by Groebli more than a century ago. The significance of our results for the dynamics of ferromagnetic elements is briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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