Spectrum of Kelvin-wave turbulence in superfluids

Abstract

We derive a type of kinetic equation for Kelvin waves on quantized vortex filaments with random large-scale curvature, that describes step-by-step (local) energy cascade over scales caused by 4-wave interactions. Resulting new energy spectrum $E\Sb{LN}(k)\propto k^{-5/3}$ must replace in future theory (e.g. in finding the quantum turbulence decay rate) the previously used spectrum $E\Sb {KS}(k)\propto k^{-7/5}$, which was recently shown to be inconsistent due to nonlocality of the 6-wave energy cascade.

4+2 pages, extended version of the PRL submission with appendix

References in corpus (4)

• Bottleneck crossover between classical and quantum superfluid turbulence
• The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
• Quantum turbulence in propagating superfluid vortex front
• Modeling Kelvin Wave Cascades in Superfluid Helium

Cited by in corpus (50)

• Cascades and transitions in turbulent flows
• Quantum hydrodynamics
• One-Dimensional Optical Wave Turbulence: Experiment and Theory
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Discrete and mesoscopic regimes of finite-size wave turbulence
• Structure of quantum vortex tangle in He-4 counterflow turbulence
• Quantum turbulence in quantum gases
• Kelvin-wave turbulence in superfluids
• A Vortex Filament Tracking Method for the Gross-Pitaevskii Model of a Superfluid
• Dynamics of quantum turbulence of different spectra
• Sustained turbulence in the three-dimensional Gross-Pitaevskii model
• Dual cascade and dissipation mechanisms in helical quantum turbulence
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Helicity, Topology and Kelvin Waves in reconnecting quantum knots
• Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
• Universal mechanism of dissipation in Fermi superfluids at ultra low temperatures
• Wave Turbulence and thermalization in one-dimensional chains
• Rotating quantum wave turbulence
• Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation
• Spatio-temporal detection of Kelvin waves in quantum turbulence simulations
• Quantitative estimation of effective viscosity in quantum turbulence
• Bogoliubov-wave turbulence in Bose-Einstein condensates
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Symmetries and Interaction coefficients of Kelvin waves
• Experimental quasi-1D capillary-wave turbulence
• Kelvin waves and the decay of quantum superfluid turbulence
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
• Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
• Interactions between unidirectional quantized vortex rings
• Temperature suppression of Kelvin-wave turbulence in superfluids
• Comment on "Symmetries and Interaction Coefficients of Kelvin waves" [arXiv:1005.4575] by Lebedev and L'vov
• Amplitude of waves in the Kelvin-wave cascade
• Finite temperature effects in helical quantum turbulence
• Sound emission and annihilations in a programmable quantum vortex collider
• Identification of Kelvin waves: numerical challenges
• Kelvin waves from vortex reconnection in superfluid helium at low temperatures
• Reply to Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence" [arXiv:1208.4593]
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• The Statistical Properties of Superfluid Turbulence in ${}^4$He from the Hall-Vinen-Bekharevich-Khalatnikov Model
• Vortex-mediated relaxation of magnon BEC into light Higgs quasiparticles
• Scale invariance and superfluid turbulence
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
• Kelvin wave in miscible two-component Bose-Einstein condensates
• Comment on "Amplitude of waves in the Kelvin-wave cascade"
• Comment on "Reconnection of quantized vortex filaments and the Kolmogorov spectrum"
• Turbulence in rotating Bose-Einstein condensates
• Studies on quantum turbulence with Vinen
• Reply to "Comment on 'Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory'"
• Universality classes of surface wave turbulence as probed by laser Doppler velocimetry in viscous fluids