Vortex clustering and universal scaling laws in two-dimensional quantum turbulence

Abstract

We investigate numerically the statistics of quantized vortices in two-dimensional quantum turbulence using the Gross-Pitaevskii equation. We find that a universal $-5/3$ scaling law in the turbulent energy spectrum is intimately connected with the vortex statistics, such as number fluctuations and vortex velocity, which is also characterized by a similar scaling behavior. The $-5/3$ scaling law appearing in the power spectrum of vortex number fluctuations is consistent with the scenario of passive advection of isolated vortices by a turbulent superfluid velocity generated by like-signed vortex clusters. The velocity probability distribution of clustered vortices is also sensitive to spatial configurations, and exhibits a power-law tail distribution with a $-5/3$ exponent.

9 pages, 7 figures

References in corpus (7)

• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Inverse Energy Cascade in Forced 2D Quantum Turbulence
• Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates
• Spectral energy transport in two-dimensional quantum vortex dynamics
• Vortex density fluctuations in quantum turbulence

Cited by in corpus (19)

• Observation of vortex-antivortex pairing in decaying 2D turbulence of a superfluid gas
• Onset of vortex clustering and inverse energy cascade in dissipative quantum fluids
• Theory of the vortex-clustering transition in a confined two-dimensional quantum fluid
• The role of fluid flow in the dynamics of active nematic defects
• Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
• Vortex Thermometry for Turbulent Two-Dimensional Fluids
• Einstein-Bose condensation of Onsager vortices
• 2D Quantum Turbulence in Polariton Condensates
• Decaying quantum turbulence in a two-dimensional Bose-Einstein condensate at finite temperature
• Spectral analysis for compressible quantum fluids
• Origin of the inverse energy cascade in two-dimensional quantum turbulence
• Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
• A unified field theory of topological defects and non-linear local excitations
• Snell's Law for a vortex dipole in a Bose-Einstein condensate
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Velocity statistics for non-uniform configurations of point vortices
• Velocity statistics for point vortices in the local α-models of turbulence
• Axis-symmetric Onsager Clustered States of Point Vortices in a Bounded Domain
• Onsager vortex clusters on a sphere