Nazarenko, Sergey (2007) Kelvin wave turbulence generated by vortex reconnections. JETP Letters, Vol.84 (No.11). pp. 585-587. doi:10.1134/S0021364006230032

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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
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	JETP Letters
Publisher:	MAIK Nauka - Interperiodica
ISSN:	0021-3640
Official Date:	February 2007
Dates:	Date Event February 2007 Published
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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