Kelvin waves cascade in superfluid turbulence

We study numerically the interaction of four initial superfluid vortex ring s in the absence of any dissipation or friction. We find evidence for a cas cade of Kelvin waves generated by individual vortex reconnection events whi ch transfers energy to higher and higher wave numbers k. After the vortex r econnections occur, the energy spectrum scales as k(-1) and the curvature s pectrum becomes flat. These effects highlight the importance of Kelvin wave s and reconnections in the transfer of energy within a turbulent vortex tan gle.