Inertial Range and the Kolmogorov Spectrum of Quantum Turbulenc

TL;DR

This paper demonstrates that quantum turbulence exhibits an inertial range with a Kolmogorov spectrum, confirming classical turbulence properties in a quantum system through numerical simulation.

Contribution

The study introduces a numerical approach to quantum turbulence that reproduces the inertial range and Kolmogorov spectrum, providing a simplified prototype of turbulence.

Findings

Inertial range exhibits Kolmogorov spectrum

Energy flux matches dissipation rate

Quantum turbulence mimics classical turbulence properties

Abstract

Quantum turbulence is numerically studied by solving the Gross-Pitaevskii equation. Introducing both the energy dissipation at small scales and the energy injection at large scales, we succeed in obtaining the steady turbulence made by the balance of the injection and the dissipation of the energy. The inertial range takes the Kolmogorov spectrum and the energy flux is consistent with the energy dissipation rate at small scales. These results confirm the properties of the inertial range of quantum turbulence, proposing a prototype of turbulence much simpler than conventional classical turbulence.