title: 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.
authors.affiliation: Department of Physics, University of Oslo, P.O. 1048 Blindern, 0316 Oslo, Norway.
authors.forename: Audun
authors.initials: A
authors.lastname: Skaugen
authors.affiliation: Department of Physics, University of Oslo, P.O. 1048 Blindern, 0316 Oslo, Norway.
authors.forename: Luiza
authors.initials: L
authors.lastname: Angheluta
mesh_terms: D008962:Models, Theoretical; D011789:Quantum Theory; D013223:Statistics as Topic