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

Spectrum of turbulent Kelvin-waves cascade in superfluid helium