Tanogami Tomohiro
Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E. 2021 Feb;103(2-1):023106. doi: 10.1103/PhysRevE.103.023106.
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 ℓ_{i}, the Richardson cascade becomes dominant, whereas at scales much smaller than ℓ_{i}, 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.
我们使用昂萨格“理想湍流”理论中所采用的解析方法，研究了由格罗斯 - 皮塔耶夫斯基模型所描述的三维量子湍流。我们推导了尺度间动能通量的尺度独立性，并建立了一种双级串流情景：在比平均涡旋间距离(\ell_{i})大得多的尺度上，理查森级串占主导地位；而在比(\ell_{i})小得多的尺度上，另一种级串由量子应力引发。然后，我们通过唯象论证来评估相应的速度功率谱。我们还讨论了这种我们称之为量子应力级串的级串与开尔文波级串之间的关系。
