Viscosity of liquid He-4 and quantum of circulation: Why and how are they related?

2011/02/16 by V. S. L'vov, L'vov, V. S., L. Skrbek +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Chaotic Dynamics (nlin.CD) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #nlin.CD #physics.flu-dyn #quant-ph

paper · pdf · doi:10.48550/arxiv.1102.3259

4 pages, 2 figs, PRL submitted

arxiv created 2011/02/16 · openalex publication_date 2011/02/16 · arxiv updated 2011/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The relationship between the apparently unrelated physical quantities -- kinematic viscosity of liquid He-4, ν, and quantum of circulation, κ=2πℏ/m₄, where ℏ is the Planck constant and m₄ denotes the mass of the ⁴He atom -- is examined in the vicinity of the superfluid transition occurring due to Bose-Einstein condensation. A model is developed, leading to the surprisingly simple relation ν≈ κ/6. We critically examine the available experimental data for ⁴He relevant to this simple relation and predict the kinematic viscosity for the stretched liquid ⁴He along the λ-line at negative pressures.

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