Amplitude of waves in the Kelvin-wave cascade

Abstract

Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave cascade on quantized vortices. One of the first questions which then arises in analysis of the experimental results is the relation between the energy flux in the cascade and the amplitude of the Kelvin waves. We provide such relation based on the L'vov-Nazarenko picture of the cascade. Remarkably, the amplitude of the waves depends on the energy flux extermely weakly, as power one tenth.

arXiv comment3 pages, 1 figure

References in corpus (12)

• Kelvin Wave Cascade and Decay of Superfluid Turbulence
• Spectrum of Kelvin-wave turbulence in superfluids
• The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
• Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
• Kelvin-wave turbulence in superfluids
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• The Kelvin-wave cascade in the vortex filament model
• Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
• Universal mechanism of dissipation in Fermi superfluids at ultra low temperatures
• Probing superfluid ${}^4\mathrm{He}$ with high-frequency nanomechanical resonators down to $\mathrm{mK}$ temperatures
• Nanomechanical resonators for cryogenic research
• Mutual friction in superfluid ${}^3$He-B in the low-temperature regime

Cited by in corpus (6)

• Rotating quantum wave turbulence
• Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Superfluid ${}^4$He as a rigorous test bench for different damping models in nanoelectromechanical resonators
• Vortex-mediated relaxation of magnon BEC into light Higgs quasiparticles
• Comment on "Amplitude of waves in the Kelvin-wave cascade"