Hopf solitons and elastic rods
Hopf solitons and elastic rods
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霍普夫孤子和弹性杆
DOI：
10.1103/physrevd.83.065008
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发表时间：
2011
影响因子：
5
通讯作者：
P.M. Sutcliffe
中科院分区：
文献类型：
--
作者：
D. Harland;J.M. Speight;P.M. Sutcliffe
Skyrme-Faddeev模型中的霍普夫孤子是一类按整数值霍普夫荷分类的类弦拓扑孤子。本文用弹性杆近似描述了霍普夫孤子。本文从场论能量出发，导出了弹性杆能的一般形式，并证明它是经典基尔霍夫杆能的推广。利用Kirchhoff能量的最小扩展，它表明，一个简单的弹性杆模型可以重现许多的定性特征的Skyrme-Faddeev模型中的霍普夫孤子。该模型所捕获的功能包括屈曲的电荷三解决方案，形成的链接在收费五，六，和最小的能量三叶结在收费七。
Hopf solitons in the Skyrme-Faddeev model are stringlike topological solitons classified by the integer-valued Hopf charge. In this paper we introduce an approximate description of Hopf solitons in terms of elastic rods. The general form of the elastic rod energy is derived from the field theory energy and is found to be an extension of the classical Kirchhoff rod energy. Using a minimal extension of the Kirchhoff energy, it is shown that a simple elastic rod model can reproduce many of the qualitative features of Hopf solitons in the Skyrme-Faddeev model. Features that are captured by the model include the buckling of the charge three solution, the formation of links at charges five and six, and the minimal energy trefoil knot at charge seven.
影响因子：
0.5
作者：
Rawdon, EJ
通讯作者：
Rawdon, EJ