Domain of Two-Dimensional Excitations in Superfluid Helium Films

1975 ◽  
Vol 34 (4) ◽  
pp. 183-186 ◽  
Author(s):  
T. E. Washburn ◽  
J. E. Rutledge ◽  
J. M. Mochel
2016 ◽  
Vol 30 (30) ◽  
pp. 1630018 ◽  
Author(s):  
J. Michael Kosterlitz ◽  
David J. Thouless

This article summarizes the early history of the theory of phase transitions driven by topological defects, such as vortices in superfluid helium films or dislocations and disclinations in two-dimensional solids. We start with a review of our two earliest papers, pointing out their errors and omissions as well as their insights. We then describe the work, partly done by Kosterlitz but mostly done by other people, which corrected these oversights, and applied these ideas to experimental systems, and to numerical and experimental simulations.


1980 ◽  
Vol 44 (4) ◽  
pp. 266-269 ◽  
Author(s):  
W. Thomlinson ◽  
J. A. Tarvin ◽  
L. Passell

1976 ◽  
Vol 56 (3) ◽  
pp. 996-997
Author(s):  
Y. Ichikawa ◽  
T. Usui

From an experimental investigation of superfluid film transfer in narrow beakers in helium II it emerges that there are probably two kinds of film. A ‘normal’ film is formed by superfluid creep over a dry substrate. A ‘thick’ film remains when liquid has drained from a substrate that has previously been immersed in the liquid helium bath. A comparison has been made of the superfluid flow between the two types of film. Scatter of values of transfer rate associated with a normal film is attributed to third sound generated by bath waves impinging on the meniscus at the base of the film. The thick film shows an enhanced rate of transfer which can persist for long periods of time in quiet conditions, but which can be abruptly diminished by disturbances such as bath surface agitation. There is a maximum stable length for a thick film exhibiting the full enhanced rate. The enhanced rate can be as much as 60% greater than the normal rate at 1° K, but the difference between the two rates of transfer disappears above 1.8 °K. No enhanced rate of transfer at any temperature is observed in beakers as large as 8 mm diameter.


It is argued that the thermodynamic approach used by Goodstein and Saffman in their theory of thin superfluid helium films is incorrect. Their theory does not explain Keller’s experiment. The value they obtained for the convection velocity of third sound in a film with superfluid flow is consequently unfounded theoretically. Their calculation of third sound attenuation is shown to be incomplete.


1994 ◽  
Vol 194-196 ◽  
pp. 639-640
Author(s):  
Charles J. Yeager ◽  
Lindsay M. Steele ◽  
Daniele Finotello

1993 ◽  
Vol 07 (23) ◽  
pp. 1523-1526 ◽  
Author(s):  
ROBERT OWCZAREK

In this letter, studies of knotted vortex structures in superfluid helium are continued. A model of superfluid phase transition (λ-transition) is built in this framework. Similarities of this model to the two-dimensional Ising model are shown. Dependence of specific heat of superfluid helium on temperature near the λ point is explained.


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