Quasi-Stable Configurations of Torus Vortex Knots and Links
Quasi-Stable Configurations of Torus Vortex Knots and Links
复制标题
环面涡结和连杆的准稳定构型
DOI：
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发表时间：
2018
影响因子：
1.1
通讯作者：
V. Ruban
中科院分区：
文献类型：
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作者：
V. Ruban
零温下超流液体中环面涡旋位形Vn，p，q的动力学（n是量子涡旋的数量，p是每个细丝绕环面对称轴的圈数，q是细丝绕其中心圆的圈数;基于正则化的毕奥-萨伐尔定律，数值模拟了初始时刻环面半径R 0和r 0远大于涡核宽度ξ）。在参数Λ = ln（R_0/R_0）的不同值下，用参数B_0 = r_0/R_0的一个小步长计算了涡旋系统直到它们发生实质性变形的瞬间的寿命。结果表明，对于一定的n、p和q值，在参数（B 0，Λ）平面内存在准稳定区域，在这些区域内，涡在几十甚至几百个特征长度内几乎保持不变。
The dynamics of torus vortex configurations Vn, p, q in a superfluid liquid at zero temperature (n is the number of quantum vortices, p is the number of turns of each filament around the symmetry axis of the torus, and q is the number of turns of the filament around its central circle; radii R0 and r0 of the torus at the initial instant are much larger than vortex core width ξ) has been simulated numerically based on the regularized Biot–Savart law. The lifetime of vortex systems till the instant of their substantial deformation has been calculated with a small step in parameter B0 = r0/R0 for various values of parameter Λ = ln(R0/ξ). It turns out that for certain values of n, p, and q, there exist quasi-stability regions in the plane of parameters (B0, Λ), in which the vortices remain almost invariable during dozens and even hundreds of characteristic lengths.