# Direct Energy Cascade in Two-Dimensional Compressible Quantum Turbulence - Condensed Matter > Other Condensed Matter

Abstract: We numerically study two-dimensional quantum turbulence with aGross-Pitaevskii model. With the energy initially accumulated at large scale,quantum turbulence with many quantized vortex points is generated. Due to thelack of enstrophy conservation in this model, direct energy cascade with aKolmogorov-Obukhov energy spectrum $Ek \propto k^{-5-3}$ is observed, whichis quite different from two-dimensional incompressible classical turbulence inthe decaying case. A positive value for the energy flux guarantees a\emph{direct} energy cascade in the inertial range from large to smallscales. After almost all the energy at the large scale cascades to the smallscale, the compressible kinetic energy realizes the thermodynamic equilibriumstate without quantized vortices.

Author: Ryu Numasato, Makoto Tsubota, Victor S. L'vov

Source: https://arxiv.org/