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Il Nuovo Cimento

Recent experiments on superfluidity

Kurt Alfred Georg Mendelssohn

Published Mar 1, 1958• 5 citations
Publisher
DOI
10.1007/bf02824249

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This paper provides a brief description of recent experiments measuring the fluid circulation in 3He. In the B phase, the circulation around a 16 ~m diameter wire is found to be quantized in units of h/2m~. Possible future experiments are also described. It is widely believed that quantized circulation is a fundamental property of any superfluid system [1]. The fluid circulation must be quantized in units of h/nm, where m is the mass of the individual atoms in the fluid and n is an integer that depends on the microscopic process responsible for the macroscopic quantum state. For the case of 4He, the interacting atoms experience a Bose condensation into the superfluid state and n = 1. This fact has been demonstrated in several different types of experiments [1].
We discuss a recent experiment in which the spectrum of the vortex line density fluctuations has been measured in superfluid turbulence. The observed frequency dependence of the spectrum, f − 5/3 , disagrees with classical vorticity spectra if, following the literature, the vortex line density is interpreted as a measure of the vorticity or enstrophy. We argue that the disagrement is solved if the vortex line density field is decomposed into a polarised field (which carries most of the energy) and an isotropic field (which is responsible for the spectrum).