The Library
Interaction of Kelvin waves and nonlocality of energy transfer in superfluids
Tools
Laurie, Jason, L'vov, V. S., Nazarenko, Sergey and Rudenko, Oleksii. (2010) Interaction of Kelvin waves and nonlocality of energy transfer in superfluids. Physical Review B (Condensed Matter and Materials Physics), Vol.81 (No.10). ISSN 10980121

PDF
WRAP_Nazarenko_kelvin_waves.pdf  Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (419Kb) 
Official URL: http://dx.doi.org/10.1103/PhysRevB.81.104526
Abstract
We argue that the physics of interacting Kelvin Waves (KWs) is highly nontrivial and cannot be understood on the basis of pure dimensional reasoning. A consistent theory of KW turbulence in superfluids should be based upon explicit knowledge of their interactions. To achieve this, we present a detailed calculation and comprehensive analysis of the interaction coefficients for KW turbuelence, thereby, resolving previous mistakes stemming from unaccounted contributions. As a first application of this analysis, we derive a local nonlinear (partial differential) equation. This equation is much simpler for analysis and numerical simulations of KWs than the BiotSavart equation, and in contrast to the completely integrable local induction approximation (in which the energy exchange between KWs is absent), describes the nonlinear dynamics of KWs. Second, we show that the previously suggested KozikSvistunov energy spectrum for KWs, which has often been used in the analysis of experimental and numerical data in superfluid turbulence, is irrelevant, because it is based upon an erroneous assumption of the locality of the energy transfer through scales. Moreover, we demonstrate the weak nonlocality of the inverse cascade spectrum with a constant particlenumber flux and find resulting logarithmic corrections to this spectrum.
Item Type:  Journal Article 

Subjects:  Q Science > QC Physics 
Divisions:  Faculty of Science > Mathematics 
Library of Congress Subject Headings (LCSH):  Waves, Superfluidity, Turbulence 
Journal or Publication Title:  Physical Review B (Condensed Matter and Materials Physics) 
Publisher:  American Physical Society 
ISSN:  10980121 
Official Date:  26 March 2010 
Volume:  Vol.81 
Number:  No.10 
Number of Pages:  14 
Identification Number:  10.1103/PhysRevB.81.104526 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  [1] E. Kozik and B. Svistunov, Phys. Rev. Lett. 92, 035301 
URI:  http://wrap.warwick.ac.uk/id/eprint/3959 
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Actions (login required)
View Item 
Downloads
Downloads per month over past year