Gradual eddy-wave crossover in superfluid turbulence

Abstract

We revise the theory of superfluid turbulence near the absolute zero of temperature and suggest a model with differential approximation for the energy fluxes in the k-space carried by the collective hydrodynamic motions of quantized vortex lines and by their individual uncorrelated motions known as Kelvin waves. The model predicts energy spectra of the hydrodynamic and the Kelvin waves components of the system, which experience a smooth crossover between different regimes of motion over a finite range of scales.

12 pages, 4 figures, 1 appendix; submitted to Low Temperature Physics, 08 July 2008

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Cited by in corpus (22)

• Quantum turbulence in trapped atomic Bose-Einstein condensates
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• One-Dimensional Optical Wave Turbulence: Experiment and Theory
• 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
• Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling
• Quantum turbulence in quantum gases
• Vortex reconnections in atomic condensates at finite temperature
• Dynamics of quantum turbulence of different spectra
• Sustained turbulence in the three-dimensional Gross-Pitaevskii model
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
• Turbulent statistics and intermittency enhancement in coflowing superfluid ${}^4$He
• Geometric Symmetries in Superfluid Vortex Dynamics
• Energy spectrum of the 3D velocity field, induced by vortex tangle
• Energy Spectra of Superfluid Turbulence in ${}^3$He
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Particle approximation of the two-fluid model for superfluid ${}^4$He using smoothed particle hydrodynamics
• Hydrodynamic Instability and Turbulence in Quantum Fluids