Gross-Pitaevskii方程驱动的超流涡丝缠结的演化
Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation
摘要：
研究了由Gross-Pitaevskii方程驱动的湍流涡旋缠结的发展和衰减。使用最近开发的精确和鲁棒的跟踪算法，所有的量化的漩涡提取的领域。的Vinen的衰减规律的总涡长度与一个系数，这是在定量的协议，在氦II中测量的值进行观察。拓扑结构的纠缠，然后研究表明，链接环可能会出现在衰减。跟踪还允许确定小尺度数量的涡线的统计，表现出大的曲率和扭转的波动。最后，开尔文波谱的时间演化提供证据的弱波湍流级联的发展。
英文摘要：
The development and decay of a turbulent vortex tangle driven by the Gross-Pitaevskii equation is studied. Using a recently-developed accurate and robust tracking algorithm, all quantised vortices are extracted from the fields. The Vinen's decay law for the total vortex length with a coefficient that is in quantitative agreement with the values measured in Helium II is observed. The topology of the tangle is then studied showing that linked rings may appear during the decay. The tracking also allows for determining the statistics of small-scales quantities of vortex lines, exhibiting large fluctuations of curvature and torsion. Finally, the temporal evolution of the Kelvin wave spectrum is obtained providing evidence of the development of a weak-wave turbulence cascade.
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