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Superfluid ^4He films adsorbed on porous Vycor glass have been studied in the low-density limit where the superfluid interparticle spacing is more than an order of magnitude greater than the atomic hard-core diameter. For the lowest transition temperatures observed, the influence of critical fluctuations near T₂ is much reduced and a range of crossover to behavior more characteristic of the dilute Bose gas is observed.
Crooker et al. (Mon,) studied this question.