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VOLUME 84 | ISSUE 11 | PAGE 700 Kelvin-wave turbulence generated by vortex reconnections S. Nazarenko Mathematics institute, University of Warwick, Coventry CV4 7AL, UK PACS: 67.40.Vs Abstract Reconnections of quantum vortex filaments create sharp bends which degenerate into propagating Kelvin waves. These waves cascade their energy down-scale and their waveaction up-scale via weakly nonlinear interactions, and this is the main mechanism of turbulence at the scales less than the inter-vortex distance. In case of an idealised forcing concentrated around a single scale k0, the turbulence spectrum exponent has a pure direct cascade form -17/5 at scales k>k0 [11naz-svist] and a pure inverse cascade form -3 at k0 [11naz-leb]. However, forcing produced by the reconnections contains a broad range of Fourier modes. What scaling should one expect in this case? In this Letter I obtain an answer to this question using the differential model for the Kelvin wave turbulence introduced in [11naz-naz_kelvin]. The main result is that the direct cascade scaling dominates, i.e. the reconnection forcing is more or less equivalent to a low-frequency forcing. Download PS file (GZipped, 46.4K)  |  Download PDF file (132.2K) Список работ, цитирующих данную статью, см. здесь. List of articles citing this article can be found here.