Abstract
We considered symmetry restriction on the interaction coefficients of Kelvin waves and demonstrated that linear in small wave vector asymptotic, obtained analytically, is not forbidden, as one can expect by naive reasoning. Therefore now we have no reason to doubt in this asymptote, that results in the L’vov-Nazarenko energy spectrum of Kelvin waves.
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References
W.F. Vinen, M. Tsubota, A. Mitani, Kelvin-wave cascade on a vortex in superfluid He4 at a very low temperature. Phys. Rev. Lett. 91, 135301 (2003)
V.E. Zakharov, V.S. Lvov, G.E. Falkovich, Kolmogorov Spectra of Turbulence I. Wave Turbulence (Springer, Berlin, 1992)
B.V. Svistunov, Superfluid turbulence in the low-temperature limit. Phys. Rev. B 52, 3647 (1995)
E. Kozik, B. Svistunov, Kelvin-wave cascade and decay of superfluid turbulence. Phys. Rev. Lett. 92, 035301 (2004)
E. Kozik, B. Svistunov, Theory of decay of superfluid turbulence in the low-temperature limit. J. Low Temp. Phys. 156, 193 (2009)
J. Laurie, V.S. L’vov, S.V. Nazarenko, O. Rudenko, Interaction of Kelvin waves and nonlocality of energy transfer in superfluids. Phys. Rev. B 81, 104526 (2010)
V.S. L’vov, S. Nazarenko, Spectrum of Kelvin-wave turbulence in superfluids. Pis’ma ZhETF 91, 464 (2010)
E. Kozik, Communication on “Symposia on superfluids under rotation”, April 2010, Lammi, Finland
E. Sonin, Vortex oscillations and hydrodynamics of rotating superfluids. Rev. Mod. Phys. 59, 87 (1987)
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Lebedev, V.V., L’vov, V.S. Symmetries and Interaction Coefficients of Kelvin Waves. J Low Temp Phys 161, 548–554 (2010). https://doi.org/10.1007/s10909-010-0215-2
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DOI: https://doi.org/10.1007/s10909-010-0215-2