Zuccher Simone, Ricca Renzo L
Department of Computer Science, U. Verona, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy.
Department of Mathematics & Applications, U. Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):061001. doi: 10.1103/PhysRevE.92.061001. Epub 2015 Dec 2.
Here we show that under quantum reconnection, simulated by using the three-dimensional Gross-Pitaevskii equation, self-helicity of a system of two interacting vortex rings remains conserved. By resolving the fine structure of the vortex cores, we demonstrate that the total length of the vortex system reaches a maximum at the reconnection time, while both writhe helicity and twist helicity remain separately unchanged throughout the process. Self-helicity is computed by two independent methods, and topological information is based on the extraction and analysis of geometric quantities such as writhe, total torsion, and intrinsic twist of the reconnecting vortex rings.
在这里我们表明，通过使用三维格罗斯 - 皮塔耶夫斯基方程进行模拟，在量子重联过程中，两个相互作用的涡环系统的自螺旋度保持守恒。通过解析涡核的精细结构，我们证明涡旋系统的总长度在重联时刻达到最大值，而在整个过程中，缠绕螺旋度和扭曲螺旋度各自保持不变。自螺旋度通过两种独立方法计算，并且拓扑信息基于对诸如重联涡环的缠绕、总挠率和固有扭曲等几何量的提取和分析。
