Energy Spectra of Superfluid Turbulence in ${}^3$He

Abstract

In superfluid ${}^3$He turbulence is carried predominantly by the superfluid component. To explore the statistical properties of this quantum turbulence and its differences from the classical counterpart we adopt the time-honored approach of shell models. Using this approach we provide numerical simulations of a Sabra-shell model that allows us to uncover the nature of the energy spectrum in the relevant hydrodynamic regimes. These results are in qualitative agreement with analytical expressions for the superfluid turbulent energy spectra that were found using a differential approximation for the energy flux.

References in corpus (2)

• Gradual eddy-wave crossover in superfluid turbulence
• Shell model of superfluid turbulence

Cited by in corpus (13)

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• Coexistence and interplay of quantum and classical turbulence in superfluid He-4: Decay, velocity decoupling and counterflow energy spectra
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• Counter-flow Induced Decoupling in Super-Fluid Turbulence
• Local and non-local energy spectra of superfluid ${}^3$He turbulence
• Theory of energy spectra in superfluid He-4 counterflow turbulence
• Strong anisotropy of superfluid ${}^4$He counterflow turbulence
• The Statistical Properties of Superfluid Turbulence in ${}^4$He from the Hall-Vinen-Bekharevich-Khalatnikov Model
• Statistics of Quantum Turbulence in Superfluid He
• Dynamic Scaling in Rotating Turbulence: A Shell Model Study