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Weak turbulence of Kelvin waves in superfluid He
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L'vov, V. S. and Nazarenko, Sergey (2010) Weak turbulence of Kelvin waves in superfluid He. Low Temperature Physics, Volume 36 (Numbers 8-9). pp. 785-791. doi:10.1063/1.3499242 ISSN 1063-777X.
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Official URL: http://dx.doi.org/10.1063/1.3499242
Abstract
The physics of small-scale quantum turbulence in superfluids is essentially based on knowledge of the energy spectrum of Kelvin waves, E-k. Here we derive a new type of kinetic equation for Kelvin waves on quantized vortex filaments with random large-scale curvature which describes a step-by-step energy cascade over scales resulting from five-wave interactions. This approach replaces the earlier six-wave theory, which has recently been shown to be inconsistent owing to nonlocalization Solving the four-wave kinetic equation, we found a new local spectrum with a universal (curvature-independent) exponent, E-k proportional to k(-5/3), which must replace the nonlocal spectrum of the six-wave theory, E-k proportional to k(-7/5) in any future theory, e.g., when determining the quantum turbulence decay rate, found by Kosik and Svistunov under an incorrect assumption of locality of energy transfer in six-wave interactions. (c) 2010 American Institute of Physics. [doi:10.1063/1.3499242]
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Atmospheric waves, Turbulence, Superfluidity, Helium | ||||
Journal or Publication Title: | Low Temperature Physics | ||||
Publisher: | American Institute of Physics | ||||
ISSN: | 1063-777X | ||||
Official Date: | August 2010 | ||||
Dates: |
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Volume: | Volume 36 | ||||
Number: | Numbers 8-9 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 785-791 | ||||
DOI: | 10.1063/1.3499242 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | European Commission (EC), U.S.-Israel Binational Scientific Foundation | ||||
Grant number: | 228464 (EC) |
Data sourced from Thomson Reuters' Web of Knowledge
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