Department of Computer Science, University of Verona, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy.
Department of Mathematics & Applications, U. Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy and BDIC, Beijing University of Technology, 100 Pingleyuan, Beijing 100124, People's Republic of China.
Phys Rev E. 2017 May;95(5-1):053109. doi: 10.1103/PhysRevE.95.053109. Epub 2017 May 18.
By numerically solving the three-dimensional Gross-Pitaevskii equation we analyze the cascade process associated with the evolution and decay of a pair of linked vortex rings. The system decays through a series of reconnections to produce finally three unlinked, unfolded, almost planar vortex loops. Total helicity, initially zero, remains unchanged throughout the process. The gradual transfer from writhe (due to initial linking) to twist helicity, followed by a continuous relaxation of twist across scales during the evolution is shown to be a generic mechanism that consistently takes place on each individual component.
通过数值求解三维 Gross-Pitaevskii 方程，我们分析了与一对连接的涡环的演化和衰减相关的级联过程。该系统通过一系列重新连接而衰减，最终产生三个不连接、未展开、几乎平面的涡环。总螺旋度最初为零，在整个过程中保持不变。在演化过程中，从扭结（由于初始连接）到扭转螺旋度的逐渐转移，以及扭转在尺度上的连续松弛，被证明是一种普遍的机制，在每个单独的组件上都一致发生。
