论文标题
使用Onsager“理想湍流”理论对量子湍流进行理论分析
Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
论文作者
论文摘要
我们使用Onsager“理想湍流”理论中利用的分析方法来研究三维量子湍流。我们得出了比例到尺度动能通量的规模独立性，并建立了双重效应方案：在比平均干预量$ \ ell_i $的尺度上，理查森级联反应占主导地位，而在尺度上，尺度远小于$ \ ell_i $，cascade to cascade to cascade to tos量子由量子压力引起的另一种类型。然后，我们使用现象学论点评估相应的速度功率谱。还讨论了我们称之为量子应力级联的新型级联和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 $\ell_i$, the Richardson cascade becomes dominant, whereas at scales much smaller than $\ell_i$, another type of cascade is induced by quantum stress. We then evaluate the corresponding velocity power spectrum using a phenomenological argument. The relation between the novel cascade, which we call quantum stress cascade, and the Kelvin-wave cascade is also discussed.
