Energy spectra of developed superfluid turbulence

Abstract

The spectrum of turbulence in superfluid liquid is modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. In some region of two Reynolds parameters characterizing the flow of a superfluid, we found the new state of the fully developed turbulence. This state displays both the Kolmogorov-Obukhov 5/3-scaling law $E_k\propto k^{-5/3}$ and the new "3-scaling law" $E_k\propto k^{-3}$, each in a well separated range of $k$.

arXiv comment5 pages, to be published: JETP Letters v. 80, Issue 7 Oct. 10 (2004)

References in corpus (7)

• Transition to superfluid turbulence governed by an intrinsic parameter
• Momentum creation by vortices in 3He experiments as a model of primordial baryogenesis
• Non-locality and Intermittency in 3D Turbulence
• Classical and quantum regimes of the superfluid turbulence
• On developed superfluid turbulence
• Vortex avalanches and the onset of superfluid turbulence
• Flow Phase Diagram for the Helium Superfluids

Cited by in corpus (24)

• One-Dimensional Optical Wave Turbulence: Experiment and Theory
• Dynamics of vortices and interfaces in superfluid 3He
• Spectrum of turbulent Kelvin-waves cascade in superfluid helium
• Energy Spectra of Developed Turbulencein Helium Superfluids
• Turbulent dynamics in rotating helium superfluids
• Reconnection of superfluid vortex bundles
• Quantum Analogs of Classical Wakes in Bose-Einstein Condensates
• Quantum turbulence at finite temperature: the two-fluids cascade
• Transition to Superfluid Turbulence
• Differential approximation for Kelvin-wave turbulence
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Interaction of ballistic quasiparticles and vortex configurations in superfluid He3-B
• Coexistence and interplay of quantum and classical turbulence in superfluid He-4: Decay, velocity decoupling and counterflow energy spectra
• Ballistic propagation of thermal excitations near a vortex in superfluid He3-B
• Statistics of turbulence and intermittency enhancement in superfluid ${}^4$He counterflow
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Counter-flow Induced Decoupling in Super-Fluid Turbulence
• Identifying four wave resonant interactions in a surface gravity wave turbulence experiment
• Theory of energy spectra in superfluid He-4 counterflow turbulence
• Inverse cascade anomalies in fourth-order Leith models
• Statistics of Quantum Turbulence in Superfluid He
• Theory of anisotropic superfluid He-4 counterflow turbulence
• Regimes of turbulence without an energy cascade