Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling

Narimasa Sasa, Takuma Kano, Masahiko Machida, Victor S. L'vov, Oleksii Rudenko, Makoto Tsubota

Published 2010-08-18, updated 2011-06-13Version 2

In $2048^3$ simulation of quantum turbulence within the Gross-Pitaevskii equation we demonstrate that the large scale motions have a classical Kolmogorov-1941 energy spectrum E(k) ~ k^{-5/3}, followed by an energy accumulation with E(k) ~ const at k about the reciprocal mean intervortex distance. This behavior was predicted by the L'vov-Nazarenko-Rudenko bottleneck model of gradual eddy-wave crossover [J. Low Temp. Phys. 153, 140-161 (2008)], further developed in the paper.