VORTEX RINGS IN A BOSE FLUID

作者: D. Amit , E. P. Gross

DOI: 10.1103/PHYSREV.145.130

关键词:

摘要: Vortex rings are considered as flow patterns of a phenomenological Hartree-type fluid with parameters fitted to the observed phonon-roton spectrum. The basis calculations is variational, and density which constant except in vortex cores employed. energy lines expressed terms core radius $c$, defined distance from singular line point half asymptotic density. size determined by minimizing found be independent ring when latter larger than ten times radius. Comparing results data Rayfield Reif, one finds $c=1.7$ \AA{}, while model yields this value. critical velocity associated formation channel following Fetter's earlier calculation. In present calculation it possible incorporate Fineman-Chase analysis wall effects. Agreement experiment considerably improved.

参考文章(7)
G. W. Rayfield, F. Reif, Quantized Vortex Rings in Superfluid Helium Physical Review. ,vol. 136, pp. A1194- A1208 ,(1964) , 10.1103/PHYSREV.136.A1194
Kerson Huang, A. Cesar Olinto, Quantized Vortex Rings in Superfluid Helium, A Phenomenological Theory Physical Review. ,vol. 139, pp. 1441- 1451 ,(1965) , 10.1103/PHYSREV.139.A1441
Eugene P. Gross, Hydrodynamics of a Superfluid Condensate Journal of Mathematical Physics. ,vol. 4, pp. 195- 207 ,(1963) , 10.1063/1.1703944
J. C. Fineman, C. E. Chase, ENERGY OF A VORTEX RING IN A TUBE AND CRITICAL VELOCITIES IN LIQUID HELIUM II Physical Review. ,vol. 129, pp. 1- 7 ,(1963) , 10.1103/PHYSREV.129.1
Tai Tsun Wu, Some Nonequilibrium Properties of a Bose System of Hard Spheres at Extremely Low Temperatures Journal of Mathematical Physics. ,vol. 2, pp. 105- 123 ,(1961) , 10.1063/1.1724205
Alexander L. Fetter, Vortices in an Imperfect Bose Gas. I. The Condensate Physical Review. ,vol. 138, pp. 429- 437 ,(1965) , 10.1103/PHYSREV.138.A429
Lothar Meyer, Toshio Soda, BEHAVIOR OF QUANTIZED VORTEX RINGS NEAR A WALL Physical Review. ,vol. 137, pp. 428- 431 ,(1965) , 10.1103/PHYSREV.137.A428