VORTEX PATTERNS AND ENERGIES IN A ROTATING SUPERFLUID
VORTEX PATTERNS AND ENERGIES IN A ROTATING SUPERFLUID
复制标题
DOI：
10.1103/physrevb.20.1886
复制
发表时间：
1979-01-01
影响因子：
3.7
通讯作者：
ZIFF, RM
中科院分区：
文献类型：
--
作者：
CAMPBELL, LJ;ZIFF, RM
二维涡旋图案发生在一个旋转的圆柱体的超流He 4系统地订购的涡旋数N= 1，2，...，30，37，50使用的处方，其自由能是独立的角速度，是基于合理的省略图像。讨论了相同N和相邻N的模式之间的势垒能。对正方形和三角形格子的涡旋自由能作了一个新的推导，给出了用Γ（x）表示的结果。预计将显示高三角形对称的模式进行了研究，N= 217，但圆形失真强烈降低了三角形对称的区域，即使在一个无界的流体，如所示的散射结构因子。根据对包含超过一百万个涡的阵列的计算，在完美三角形晶格的有限圆形区域中的涡位置R处的失稳速度与（RR0）5成比例，其中R0是圆形区域的半径。
The two-dimensional vortex patterns that occur in a rotating cylinder of superfluid He 4 are systematically ordered for numbers of vortices N= 1, 2,…, 30, 37, 50 using a prescription for their free energy that is independent of angular velocity and is based upon the justified omission of images. Barrier energies between patterns of the same N and of neighboring N are discussed. A new derivation of the vortex free energy for perfect square and triangular lattices gives the result in terms of Γ (x). Patterns that are expected to display high triangular symmetry are studied up to N= 217, but circular distortion strongly reduces the region of triangular symmetry even in an unbounded fluid, as shown by the scattering structure factor. According to calculations on arrays containing over one million vortices, the destabilizing velocity at the vortex position R in a finite circular region of a perfect triangular lattice is proportional to (R R 0) 5 where R 0 is the radius of the circular region.