Viscosity of liquid 4He and quantum of circulation: Are they related?

Victor Lvov; Ladislav Skrbek; Katepalli R. Sreenivasan

doi:10.1063/1.4871291

Viscosity of liquid ⁴He and quantum of circulation: Are they related?

Victor Lvov, Ladislav Skrbek, Katepalli R. Sreenivasan

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In the vicinity of the superfluid transition in liquid 4He, we explore the relation between two apparently unrelated physical quantities-the kinematic viscosity, ν, in the normal state and the quantum of circulation, κ, in the superfluid state. The model developed here leads to the simple relationship ν ≈ κ/6, and links the classical and quantum flow properties of liquid 4He. We critically examine available data relevant to this relation and find that the prediction holds well at the saturated vapor pressure. Additionally,we predict the kinematic viscosity for liquid ⁴He along the λ-line at negative pressures

Original language	English
Article number	041703
Journal	Physics of Fluids
Volume	26
Issue number	4
DOIs	https://doi.org/10.1063/1.4871291
Publication status	Published - 15 Apr 2014

Bibliographical note

Czech Science Foundation [GACR 203/14/02005S]We thank R. J. Donnelly, R. P. Haley, D. Schmoranzer, W. F. Vinen, and G. E. Volovik for stimulating discussions and constructive criticism. The research of L. S. is supported by the Czech Science Foundation under GACR 203/14/02005S.

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes
Computational Mechanics

Access to Document

10.1063/1.4871291

Cite this

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title = "Viscosity of liquid 4He and quantum of circulation: Are they related?",

abstract = "In the vicinity of the superfluid transition in liquid 4He, we explore the relation between two apparently unrelated physical quantities-the kinematic viscosity, ν, in the normal state and the quantum of circulation, κ, in the superfluid state. The model developed here leads to the simple relationship ν ≈ κ/6, and links the classical and quantum flow properties of liquid 4He. We critically examine available data relevant to this relation and find that the prediction holds well at the saturated vapor pressure. Additionally,we predict the kinematic viscosity for liquid 4He along the λ-line at negative pressures",

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