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Published June 1, 1977 | Published
Journal Article Open

Viscosity, ion mobility, and the λ transition

Abstract

A model is presented of the λ transition in superfluid helium in which fluctuations near the transition are approximated by distinct regions of normal fluid and superfluid. The macroscopic viscosity of such a medium is computed. The ion mobility is also computed, taking into account a region of normal fluid around the ion induced by electrostriction. The results are, for the viscosity, ηλ-η∼t^0.67 and for the mobility μ-μλ∼t^0.92 both in excellent agreement with recent experiments. The model suggests that the λ transition itself is the point at which superfluid regions become macroscopically connected.

Additional Information

©1977 The American Physical Society. Received 1 November 1976. Special thanks are owed to Professor R.W. Zwanzig. This work could not have been done without his contributions. We are also indebted to Professor M. Cole and Professor P.G. Saffman for their generous help. Work supported in part by NSF grant No. DMR71-01819 and by the Italian agencies CNR and CNEN under the U.S.-Italy Cooperative Scientific Program.

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August 22, 2023
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