Spectrum of turbulent Kelvin-waves cascade in superfluid helium

Abstract

To explain the observed decay of superfluid turbulence at very low temperature, it has been proposed that a cascade of Kelvin waves (analogous to the classical Kolmogorov cascade) transfers kinetic energy to length scales which are small enough that sound can be radiated away. We report results of numerical simulations of the interaction of quantized vortex filaments. We observe the development of the Kelvin-waves cascade, and compute the statistics of the curvature, the amplitude spectrum (which we compare with competing theories) and the fractal dimension.

32 pages, 22 figures

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Cited by in corpus (41)

• Quantum hydrodynamics
• Quantum vortex reconnections
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Coherent vortex structures in quantum turbulence
• Quasiclassical and ultraquantum decay of superfluid turbulence
• Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
• Thermally- and mechanically-driven quantum turbulence in helium II
• Kelvin-wave turbulence in superfluids
• Quantum turbulent velocity statistics and quasiclassical limit
• The sensitivity of the vortex filament method to different reconnection models
• Breathers on Quantized Superfluid Vortices
• Crossover from interaction to driven regimes in quantum vortex reconnections
• Tree method for quantum vortex dynamics
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Vortex density fluctuations in quantum turbulence
• Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
• Spatio-temporal detection of Kelvin waves in quantum turbulence simulations
• Coherent laminar and turbulent motion of toroidal vortex bundles
• Shell model of superfluid turbulence
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Kelvin waves and the decay of quantum superfluid turbulence
• Geometry and scaling of tangled vortex lines in three-dimensional random wave fields
• Energy spectrum of the 3D velocity field, induced by vortex tangle
• Separation scaling for viscous vortex reconnection
• Inelastic scattering of xenon atoms by quantized vortices in superfluids
• Interactions between unidirectional quantized vortex rings
• Coupled dynamics for superfluid ${}^4$He in the channel
• Backreaction of tracer particles on vortex tangle in helium II counterflow
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Large-scale superfluid vortex rings at nonzero temperatures
• Three-dimensional stability of leapfrogging quantum vortex rings
• Long-lived quantum vortex knots
• Identification of Kelvin waves: numerical challenges
• Steady linked vortices with chaotic streamlines
• Kelvin waves from vortex reconnection in superfluid helium at low temperatures
• Quasi-stable configurations of torus vortex knots and links
• Acceleration statistics in thermally driven superfluid turbulence
• Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates
• Kelvin wave in miscible two-component Bose-Einstein condensates
• Quantum vortex driven Kelvin wave in the thermal background of superfluid helium
• Generation of wave turbulence in dipolar gases driven across their phase transitions