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VOLUME 80 | ISSUE 7 | PAGE 546
Energy spectra of developed superfluid turbulence
V. S. L'vov, S. V. Nazarenko^{\dag 1)}, G. E. Volovik* 1)

Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel
^\dagUniversity of Warwick, Mathematics Institute, CV4 7AL Coventry
*Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland
*L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia


PACS: 43.37.+q, 47.32.Cc, 67.40.Vs, 67.57.Fg
Abstract
Turbulence spectra in superfluids are modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. We have found a new state of fully developed turbulence which occurs in some range of two Reynolds parameters characterizing the superfluid flow. This state displays both the Kolmogorov-Obukhov \frac53-scaling law E_k \propto k^{-5/3} and a new «3-scaling law" E_k \propto k^{-3}, each in a well-separated range of k.


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