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arXiv · 1008.3050

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

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

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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Narimasa Sasa, Takuma Kano, Masahiko Machida, Victor S. L'vov, Oleksii Rudenko, Makoto Tsubota. 2011-06-13. Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling. https://doi.org/10.1103/physrevb.84.054525

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