Homogeneous Isotropic Superfluid Turbulence in Two Dimensions: Inverse and Forward Cascades in the Hall-Vinen-Bekharevich-Khalatnikov model

Abstract

We present the first direct-numerical-simulation study of the statistical properties of two-dimensional superfluid turbulence in the Hall-Vinen-Bekharevich-Khalatnikov two-fluid model. We show that both normal-fluid and superfluid energy spectra can exhibit two power-law regimes, the first associated with an inverse cascade of energy and the second with the forward cascade of enstrophy. We quantify the mutual-friction-induced alignment of normal and superfluid velocities by obtaining probability distribution functions of the angle between them and the ratio of their moduli. Our study leads to specific suggestions for experiments.

References in corpus (7)

• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Inverse Energy Cascade in Forced 2D Quantum Turbulence
• Turbulent velocity spectra in superfluid flows
• Energy cascade and the four-fifths law in superfluid turbulence
• Systematics of the magnetic-Prandtl-number dependence of homogeneous, isotropic magnetohydrodynamic turbulence
• Dissipative dynamics of superfluid vortices at non-zero temperatures
• Turbulence in the two-dimensional Fourier-truncated Gross-Pitaevskii equation

Cited by in corpus (7)

• Quantitative estimation of effective viscosity in quantum turbulence
• Multiscaling in superfluid turbulence: A shell-model study
• Non-equilibrium Bose-Einstein Condensation
• Finite temperature effects in helical quantum turbulence
• The Statistical Properties of Superfluid Turbulence in ${}^4$He from the Hall-Vinen-Bekharevich-Khalatnikov Model
• Disentangling temperature and Reynolds number effects in quantum turbulence
• Superfluid Mutual-friction Coefficients from Vortex Dynamics in the Two-dimensional Galerkin-truncated Gross-Pitaevskii Equation