Kozik, ESvistunov, Boris2024-04-262024-04-262008-01-01https://hdl.handle.net/20.500.14394/40593This is the pre-published version harvested from ArXiv. The published version is located at http://prb.aps.org/abstract/PRB/v77/i6/e060502As long as vorticity quantization remains irrelevant for long-wave physics, superfluid turbulence supports a regime macroscopically identical to the Kolmogorov cascade of a normal liquid. At high enough wave numbers, the energy flux in 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 a characteristic size.Physical Sciences and MathematicsPhysicsarticle