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Kelvin wave turbulence generated by vortex reconnections
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Nazarenko, Sergey (2007) Kelvin wave turbulence generated by vortex reconnections. JETP Letters, Vol.84 (No.11). pp. 585-587. doi:10.1134/S0021364006230032 ISSN 0021-3640.
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Official URL: http://dx.doi.org/10.1134/S0021364006230032
Abstract
Reconnections of quantum vortex filaments create sharp bends, which degenerate into propagating Kelvin waves. These waves cascade their energy down-scale and their wave action up-scale via weakly nonlinear interactions, and this is the main mechanism of turbulence at scales less than the inter-vortex distance. In the case of an idealized forcing concentrated around a single scale k (0), the turbulence spectrum exponent has a pure direct cascade form -17/5 at scales k > k (0) [B. V. Svistunov, Phys. Rev. B 52, 3647 (1995)] and a pure inverse cascade form -3 at k < k (0) (V. Lebedev, private communication). However, forcing produced by the reconnections contains a broad range of Fourier modes. What scaling should one expect in this case? An answer to this question has been obtained using the differential model for the Kelvin wave turbulence introduced in [S. Nazarenko, JETP Lett. 83, 198 (2005)]. 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | JETP Letters | ||||
Publisher: | MAIK Nauka - Interperiodica | ||||
ISSN: | 0021-3640 | ||||
Official Date: | February 2007 | ||||
Dates: |
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Volume: | Vol.84 | ||||
Number: | No.11 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 585-587 | ||||
DOI: | 10.1134/S0021364006230032 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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