Abstract
An experimental test is proposed for determining the role of microscopic vortex rings (MVRs) in the λ transition in helium II. It is assumed that bulk He II contains an ensemble of vortex rings which initiate the λ transition and to a significant degree determine the value of Tλ. However, in very thin films of He II, such that the thickness d of the superfluid layer is less than the size d0 of the smallest MVRs, the rings will not fit, and no MVR ensemble exists in them. Because of this, Tλ(d) curve of helium II films on disordered substrates should have a feature in the form a jump at d≈d0≈6±4 Å. The available experimental data on the heat capacity of thin films of He II are insufficiently complete and precise for drawing conclusions as to the presence of the proposed feature.
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