Topology bounds energy of knots and links
Topology bounds energy of knots and links
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DOI：
10.1098/rspa.2007.0174
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发表时间：
2008-02
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影响因子：
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通讯作者：
Renzo L. Ricca
中科院分区：
文献类型：
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作者：
Renzo L. Ricca
本文确定了Arnold(Arnold，1974)以前的两个结果中未确定的两个几何性质和拓扑性质的量。DIFF的暑期学校。情商。在迪里赞，第229-256页。)和Moffatt(Moffatt 1990自然347,367-369)关于理想流体中结和链节的磁能的下界。对于耗散系统，还确定了由平均交叉数表示的磁螺旋度的下界，以及这两个量的变化率之间的新关系。
In this paper, we determine two quantities, of geometric and topological character, that were left undetermined in two previous results obtained by Arnold (Arnold 1974 In Proc. Summer School in Diff. Eqs. at Dilizhan, pp. 229–256.) and Moffatt (Moffatt 1990 Nature 347, 367–369) on lower bounds for the magnetic energy of knots and links in ideal fluids. For dissipative systems, a lower bound on magnetic helicity in terms of the average crossing number and a new relationship between rates of change of these two quantities are also determined.