Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between?

Abstract

As long as vorticity quantization remains irrelevant for the long-wave physics, superfluid turbulence supports a regime macroscopically identical to the Kolmogorov cascade of a normal liquid. At high enough wavenumbers, the energy flux in the wavelength space is carried by individual Kelvin-wave cascades on separate vortex lines. We analyze the transformation of the Kolmogorov cascade into the Kelvin-wave cascade, revealing a chain of three distinct intermediate cascades, supported by local-induction motion of the vortex lines, and distinguished by specific reconnection mechanisms. The most prominent qualitative feature predicted is unavoidable production of vortex rings of the size of the order of inter-vortex distance.

4 RevTex pages, 1 figure. Quantitative analysis of the regime 2 has been revised

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• Theory of decay of superfluid turbulence in the low-temperature limit
• The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
• Spectrum of turbulent Kelvin-waves cascade in superfluid helium
• Turbulent dynamics in rotating helium superfluids
• Coherent vortex structures in quantum turbulence
• Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
• Reconnection of superfluid vortex bundles
• Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling
• Quantum turbulence in quantum gases
• Excimers He2* as Tracers of Quantum Turbulence in 4He in the T=0 Limit
• Thermally- and mechanically-driven quantum turbulence in helium II
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• Dynamics of quantum turbulence of different spectra
• Sustained turbulence in the three-dimensional Gross-Pitaevskii model
• Gradual eddy-wave crossover in superfluid turbulence
• Dissipation of Quasiclassical Turbulence in Superfluid ${}^4$He
• Quantum turbulence: From superfluid helium to atomic Bose-Einstein condensates
• Vortex density fluctuations in quantum turbulence
• 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
• Quantum Dynamics of a Bose Superfluid Vortex
• Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff
• Reconnections of quantized vortex rings in superfluid ${}^4$He at very low temperatures
• Ballistic propagation of thermal excitations near a vortex in superfluid He3-B
• A route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates
• Geometric Symmetries in Superfluid Vortex Dynamics
• Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Quantum turbulence in superfluids with wall-clamped normal component
• Domain-area distribution anomaly in segregating multicomponent superfluids
• Energy Loss from a Moving Vortex in Superfluid Helium
• Poincare recurrence and intermittent loss of quantum Kelvin wave cascades in quantum turbulence
• Vortex length, vortex energy and fractal dimension of superfluid turbulence at very low temperature
• Vortex Turbulence in Linear Schroedinger Wave Mechanics
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Studies on quantum turbulence with Vinen