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Critical velocity in superfluid helium
Authors:A. C. Biswas  R. K. Pathria
Affiliation:(1) Department of Physics, University of Waterloo, Waterloo, Ontario, Canada;(2) Present address: Tata Institute of Fundamental Research, Bombay, India
Abstract:A microscopic approach based on the use of action-angle variables in quantum statistics is employed to study the flow of liquid helium II through a cylindrical channel of diameterd. It is found that for xgrc/dLt1, where xgrc is the coherence length of the system, the superfluid critical velocityvc propd–1/2. For a certain range ofd, this relationship is in closer agreement with experiment than the one based on semiclassical considerations involving quantized vortices.
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