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Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence

机译：T = 0超流体湍流中开尔文波动力学和开尔文波级联的对称性

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This article considers the implications of tilt symmetry (symmetry with respect to tilting of the coordinate axis with respect to which vortex motion is studied) in the nonlinear dynamics of Kelvin waves. The conclusion is that although the spectrum of a Kelvin wave is not tilt-invariant, this does not compromise the tilt invariance of the Kelvin-wave cascade that is currently being vigorously debated in the theory of superfluid turbulence. The article investigates the effect of strong kelvon interaction on the power-law exponent for the Kelvin-wave cascade and suggests a simple picture of the crossover from the classical Kolmogorov cascade to the quantum Kelvin-wave cascade, which does not encounter a mismatch of the energy distributions at the crossover and does not require a broad intermediate interval for realization of the crossover.
机译：本文考虑了开尔文波的非线性动力学中的倾斜对称性（相对于研究涡旋运动的坐标轴倾斜对称性）的含义。结论是，尽管开尔文波的频谱不是倾斜不变的，但这并不影响开尔文波级联的倾斜不变性，而开尔文波级联目前在超流体湍流理论中受到了激烈的争论。本文研究了强开尔文相互作用对开尔文波级联的幂律指数的影响，并提出了从经典柯尔莫哥罗夫级联到量子开尔文波级联的交叉的简单图片，该图没有遇到量子点开尔文不匹配的情况。能量分布在分频器上，不需要很宽的中间间隔即可实现分频器。

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