A Note on the Propagation of Quantized Vortex Rings Through a Quantum Turbulence Tangle: Energy Transport or Energy Dissipation?
A Note on the Propagation of Quantized Vortex Rings Through a Quantum Turbulence Tangle: Energy Transport or Energy Dissipation?
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DOI：
10.1007/s10909-015-1287-9
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发表时间：
2015-07-01
影响因子：
2
通讯作者：
Baggaley, Andrew W.
中科院分区：
文献类型：
--
作者：
Laurie, Jason;Baggaley, Andrew W.
我们研究了量子湍流中小于涡旋间距尺度的量子涡旋环动力学。通过几何参数和高分辨率数值模拟，我们检验了对重连后涡环的平均自由程和结构的简单估计的有效性。我们发现很大比例的涡旋环仍然是相干物体，其中大约保留了它们的能量。这导致我们考虑湍流缠结中能量输运的有效性。此外，我们表明，在适合超量子体制的低密度缠结中，不能排除环发射是能量耗散的重要机制。然而，在较高的涡线密度下，通常与准经典状态相关，即使考虑到我们的工作表明环可以在多次重联事件中幸存下来，环发射对能量耗散的贡献也可以忽略不计。因此，开尔文波级联似乎是导致能量耗散的最合理的机制。
We investigate quantum vortex ring dynamics at scales smaller than the inter-vortex spacing in quantum turbulence. Through geometrical arguments and high-resolution numerical simulations, we examine the validity of simple estimates for the mean free path and the structure of vortex rings post-reconnection. We find that a large proportion of vortex rings remain coherent objects where approximately of their energy is preserved. This leads us to consider the effectiveness of energy transport in turbulent tangles. Moreover, we show that in low density tangles, appropriate for the ultra-quantum regime, ring emission cannot be ruled out as an important mechanism for energy dissipation. However at higher vortex line densities, typically associated with the quasi-classical regime, loop emission is expected to make a negligible contribution to energy dissipation, even allowing for the fact that our work shows rings can survive multiple reconnection events. Hence the Kelvin wave cascade seems the most plausible mechanism leading to energy dissipation.