Symmetries and Interaction coefficients of Kelvin waves

Abstract

We considered symmetry restriction on the interaction coefficients of Kelvin waves and demonstrated that linear in small wave vector asymptotic is not forbidden, as one can expect by naive reasoning.

4 pages, submitted to J. of Low Temp. Phys

References in corpus (3)

• Spectrum of Kelvin-wave turbulence in superfluids
• The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
• Modeling Kelvin Wave Cascades in Superfluid Helium

Cited by in corpus (13)

• Vortices and turbulence in trapped atomic condensates
• Structure of quantum vortex tangle in He-4 counterflow turbulence
• Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling
• Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
• Kelvin-wave turbulence in superfluids
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• The Kelvin-wave cascade in the vortex filament model
• Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
• Kelvin waves and the decay of quantum superfluid turbulence
• On role of symmetries in Kelvin wave turbulence
• Comment on "Symmetries and Interaction Coefficients of Kelvin waves" [arXiv:1005.4575] by Lebedev and L'vov
• Turbulence in quantum fluids
• Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence" [arXiv:1201.3188]