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

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

2010-08-18

arxiv.org/abs/1008.3050v2

Phys. Rev. B 84, 054525 (2011)

Physics

Fluid Dynamics

(re)submitted to PRB: 5.5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.84.054525

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.

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