QUANTIZATION OF MACROSCOPIC MOTIONS AND HYDRODYNAMICS OF ROTATING HELIUM II
QUANTIZATION OF MACROSCOPIC MOTIONS AND HYDRODYNAMICS OF ROTATING HELIUM II
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旋转氦宏观运动和流体动力学的量化 II
DOI：
10.1103/revmodphys.38.567
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发表时间：
1966
影响因子：
44.1
通讯作者：
Y. Mamaladze
中科院分区：
文献类型：
--
作者：
Ė. Andronikashvili;Y. Mamaladze
本文是对旋转氦ii问题的实验数据和理论研究的综述。当氦ii似乎在一个均匀旋转的容器中作为一个整体旋转时，问题就出现了，而由于没有粘性和朗道要求旋度v s= 0，把它的超流成分拖入一个圆柱形容器的旋转似乎是不可能的。后来人们发现氦ii对固体旋转的模拟是通过具有量子化环流的Onsager-Feynman涡旋线来实现的。在均匀旋转的容器中，它们沿着其横截面近似均匀地分布，平行于旋转轴排列，并导致复杂的速度分布，在该速度分布下，旋度v s=（2 π <$m）<$v δ（r− r v），即，朗道的要求在任何地方都是有效的，但旋度等于无穷大的奇异线除外（rv是垂直于旋转轴的任意平面中的涡线的二维半径矢量）。
This paper is a review of experimental data and theoretical studies devoted to the rotating helium ii problem. The problem arose when helium ii appeared to be rotating as a whole in a uniformly rotated container, while dragging of its superfluid component into rotation of a cylindrical vessel seemed impossible due to the absence of viscosity and Landau's requirement curl v s= 0. Later it was found that imitation of a solid body rotation by helium ii is realized by means of Onsager-Feynman's vortex lines which possess quantized circulation. In a uniformly rotating vessel they are distributed approximately uniformly along its cross section, aligned parallel to the axis of rotation, and cause a complicated velocity distribution at which curl v s=(2 π ℏ m) Σ v δ (r− r v), that is, Landau's requirement is valid everywhere excluding singular lines where the curl is equal to infinity (r v is a two-dimensional radius vector of a vortex line in an arbitrary plane perpendicular to the axis of rotation).