Faddeev-Hopf knots: dynamics of linked un-knots
Faddeev-Hopf knots: dynamics of linked un-knots
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DOI：
10.1016/s0370-2693(99)00054-4
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发表时间：
1999-04-01
影响因子：
4.4
通讯作者：
Salo, P
中科院分区：
文献类型：
--
作者：
Hietarinta, J;Salo, P
我们数值研究了Faddeev-Hopf结，它被定义为R-3中具有非平凡Hopf电荷且最小化Faddeev拉格朗日的单位向量场。利用与最陡下降法相对应的一阶耗散动力学，允许给定的初始构型松弛到(局部)最小值。两个非结的链接组合被认为松弛到不同的最低能量构型，这取决于它们的电荷以及它们的相对利手和方向。为了使结果可视化，我们绘制了某些规范不变的等值面。(C)1999 Elsevier Science B.V.保留所有权利。
We have studied numerically Faddeev-Hopf knots which are defined as those unit-vector fields in R-3 that have a nontrivial Hopf charge and minimize Faddeev's Lagrangian. A given initial configuration was allowed to relax into a (local) minimum using the first order dissipative dynamics corresponding to the steepest descent method. A Linked combination of two un-knots was seen to relax into different minimum energy configurations depending on their charges and their relative handedness and direction. In order to:visualize the results we plot certain gauge-invariant iso-surfaces. (C) 1999 Elsevier Science B.V. All rights reserved.