Origin of the inverse energy cascade in two-dimensional quantum turbulence

Abstract

We establish a statistical relationship between the inverse energy cascade and the spatial correlations of clustered vortices in two-dimensional quantum turbulence. The Kolmogorov spectrum $k^{-5/3}$ on inertial scales $r$ corresponds to a pair correlation function between the vortices with different signs that decays as a power law with the pair distance given as $r^{-4/3}$. To test these scaling relations, we propose a novel forced and dissipative point vortex model that captures the turbulent dynamics of quantized vortices by the emergent clustering of same-sign vortices. The inverse energy cascade developing in a statistically neutral system originates from this vortex clustering that evolves with time.

10 pages, 6 figures

References in corpus (13)

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• Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps
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Cited by in corpus (13)

• Mass-driven vortex collisions in flat superfluids
• Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
• Vortex Thermometry for Turbulent Two-Dimensional Fluids
• Einstein-Bose condensation of Onsager vortices
• Enstrophy Cascade in Decaying Two-Dimensional Quantum Turbulence
• Spectral analysis for compressible quantum fluids
• Universal expansion of vortex clusters in a dissipative two-dimensional superfluid
• Snell's Law for a vortex dipole in a Bose-Einstein condensate
• Sound emission and annihilations in a programmable quantum vortex collider
• Conformal-invariance of 2D quantum turbulence in an exciton-polariton fluid of light
• Axis-symmetric Onsager Clustered States of Point Vortices in a Bounded Domain
• Onsager vortex clusters on a sphere
• Local energy density functional for superfluid Fermi gases from effective field theory