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A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?

机译:关于量子化涡环通过量子传播的一个注记   湍流缠结:能量输送还是能量耗散?

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摘要

We investigate quantum vortex ring dynamics at scales smaller than theinter-vortex spacing in quantum turbulence. Through geometrical arguments andhigh resolution numerical simulations we examine the validity of simpleestimates of the mean free path and the structure of vortex ringspost-reconnection. We find that a large proportion of vortex rings remaincoherent objects where approximately $75\%$ of their energy is preserved. Thisleads us to consider the effectiveness of energy transport in turbulenttangles. Moreover, we show that in low density tangles, appropriate for theultra-quantum regime, ring emission cannot be ruled out as an importantmechanism for energy dissipation. However at higher vortex line densities,typically associated with the quasi-classical regime, loop emission is expectedto make a negligible contribution to energy dissipation, even allowing for thefact that our work shows rings can survive multiple reconnection events. Hencethe Kelvin wave cascade seems the most plausible mechanism leading to energydissipation.
机译:我们研究的量子涡环动力学尺度小于量子湍流中的涡旋间距。通过几何论证和高分辨率数值模拟,我们检验了平均自由程和涡旋环重新连接结构的简单估计的有效性。我们发现,大部分涡流环仍是相干的物体,其中约75%的能量被保留。这使我们考虑了湍流中能量传输的有效性。此外,我们表明,在适合于超量子态的低密度缠结中,不能排除环发射是能量耗散的重要机制。但是,在较高的涡流线密度下(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经受多次重连接事件的影响,环的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。

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