Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory
Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory
复制标题
使用 Onsager 理想湍流理论对量子湍流进行理论分析
DOI：
10.1103/physreve.103.023106
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发表时间：
2021
影响因子：
2.4
通讯作者：
Tomohiro Tanogami
中科院分区：
文献类型：
--
作者：
Kohei Morimoto;Daichi Kitagawa;Hikaru Sotome;Syoji Ito;Hiroshi Miyasaka;Seiya Kobatake;Yuka Kataoka;Tomohiro Tanogami
我们利用Onsager“理想湍流”理论中的分析方法，研究了Gross-Pitaevskii模型所描述的三维量子湍流。我们推导了尺度到尺度动能通量的尺度无关性，并建立了一个双级联情形：在比平均涡旋大得多的尺度上，Richardson级联占主导地位，而在比平均涡旋小得多的尺度上，另一种类型的级联由量子应力引起。然后，我们使用唯象论证来评估相应的速度功率谱。讨论了量子应力级联与开尔文波级联之间的关系。
We investigate three-dimensional quantum turbulence as described by the Gross-Pitaevskii model using the analytical method exploited in the Onsager “ideal turbulence” theory. We derive the scale independence of the scale-to-scale kinetic energy flux and establish a double-cascade scenario: At scales much larger than the mean intervortex, the Richardson cascade becomes dominant, whereas at scales much smaller than, another type of cascade is induced by quantum stress. We then evaluate the corresponding velocity power spectrum using a phenomenological argument. The relation between this cascade, which we call quantum stress cascade, and the Kelvin-wave cascade is also discussed.