Solitons, links and knots
Solitons, links and knots
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DOI：
10.1098/rspa.1999.0502
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发表时间：
1998-11
期刊：
影响因子：
--
通讯作者：
R. Battye;P. Sutcliffe
中科院分区：
文献类型：
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作者：
R. Battye;P. Sutcliffe
利用全非线性运动方程的数值模拟，研究了Skyrme-Faddeev系统的拓扑孤子，该系统是一个三维空间的改进的O(3) sigma模型，其中孤子由Hopf电荷稳定。我们发现，对于电荷为5的孤子，其解具有闭合弦的结构，随着电荷的增加，其扭曲程度越来越大。然而，对于更高的电荷，解是更奇特的，包括连接的环和结。我们讨论了这些孤子的结构和形成，并证明了产生如此丰富的孤子的关键性质是弦重连。
Using numerical simulations of the full nonlinear equations of motion, we investigate topological solitons of the Skyrme–Faddeev system, which is a modified O(3) sigma model in three space dimensions, in which the solitons are stabilized by the Hopf charge. We find that for solitons up to charge five the solutions have the structure of closed strings, which become increasingly twisted as the charge increases. However, for higher charge the solutions are more exotic and comprise linked loops and knots. We discuss the structure and formation of these solitons and demonstrate that the key property responsible for producing such a rich variety of solitons is that of string reconnection.