Energy spectra of quantum turbulence: Large-scale simulation and modeling
Energy spectra of quantum turbulence: Large-scale simulation and modeling
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DOI：
10.1103/physrevb.84.054525
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发表时间：
2010-08
影响因子：
3.7
通讯作者：
N. Sasa;T. Kano;M. Machida;V. L’vov;Oleksii Rudenko;M. Tsubota
中科院分区：
文献类型：
--
作者：
N. Sasa;T. Kano;M. Machida;V. L’vov;Oleksii Rudenko;M. Tsubota
在 Gross-Pitaevskii 方程中的 ${2048}^{3}$ 量子湍流模拟中，证明大尺度运动具有经典的 Kolmogorov-1941 能谱 $E(k)\ensuremath{\propto}{k}^{\ensuremath{-}5/3}$，随后能量累积为 $E(k)\ensuremath{\simeq}$ const $k$ 关于平均涡旋距离的倒数。这种行为是通过逐渐涡流交叉的 L'vov-Nazarenko-Rudenko 瓶颈模型预测的 [L'vov, Nazarenko, and Rudenko, J. Low Temp.]物理。 153, 140 (2008)]，在论文中进一步发展。
In a ${2048}^{3}$ simulation of quantum turbulence within the Gross-Pitaevskii equation, it is demonstrated that the large-scale motions have a classical Kolmogorov-1941 energy spectrum $E(k)\ensuremath{\propto}{k}^{\ensuremath{-}5/3}$, followed by an energy accumulation with $E(k)\ensuremath{\simeq}$ 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 [L'vov, Nazarenko, and Rudenko, J. Low Temp. Phys. 153, 140 (2008)], further developed in the paper.