Abstract
On the basis of Usui's phenomenological theory it is found that a superfluid film of helium undergoes a phase transition of the first kind when the temperature is raised up to T, and that the superfluid critical velocity Vsc multiplied by the healing length ~ is a monoto nically increasing and saturating function of the scaled film thickness d/~, not depending on the temperature explicitly. These results are qualitatively different from those of Ginzburg and Pitaevskii's theory, although the difference is small for the additional surface tension.
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