Gradual eddy-wave crossover in superfluid turbulence

Physics – Fluid Dynamics

Scientific paper

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

Scientific paper

10.1007/s10909-008-9844-0

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.

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