Faddeev-Hopf knots: dynamics of linked un-knots

被引:131
作者
Hietarinta, J [1 ]
Salo, P
机构
[1] Univ Turku, Dept Phys, FIN-20014 Turku, Finland
[2] Univ Helsinki, Helsinki Inst Phys, FIN-00014 Helsinki, Finland
关键词
D O I
10.1016/S0370-2693(99)00054-4
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
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页码:60 / 67
页数:8
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