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

Abstract

The article considers implications of tilt symmetry (symmetry with respect to tilting of the coordinate axis with respect to which vortex motion is studied) in the non-linear dynamics of Kelvin waves. The conclusion is that although the spectrum of Kelvin wave is not tilt-invariant, this does not compromise tilt invariance of the Kelvin-wave cascade vividly argued now 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 with mismatch of the energy distributions at the crossover and does not require a broad intermediate interval for realization of the crossover.

7 pages, 1 figure

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Cited by in corpus (20)

• Vortices and turbulence in trapped atomic condensates
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Structure of quantum vortex tangle in He-4 counterflow turbulence
• Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
• A Vortex Filament Tracking Method for the Gross-Pitaevskii Model of a Superfluid
• Dynamics of quantum turbulence of different spectra
• Dissipation of Quasiclassical Turbulence in Superfluid ${}^4$He
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• The Kelvin-wave cascade in the vortex filament model
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Kelvin waves and the decay of quantum superfluid turbulence
• Quantum turbulence in superfluids with wall-clamped normal component
• Interactions between unidirectional quantized vortex rings
• Temperature suppression of Kelvin-wave turbulence in superfluids
• Amplitude of waves in the Kelvin-wave cascade
• Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence" [arXiv:1201.3188]
• Reply to Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence" [arXiv:1208.4593]
• Kelvin waves from vortex reconnection in superfluid helium at low temperatures
• Comment on "Amplitude of waves in the Kelvin-wave cascade"
• Kelvin wave in miscible two-component Bose-Einstein condensates