New Correlation Length in Bose-Gas Models of Liquid Helium

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Abstract
A series of calculations is reported on the thermodynamics of both ideal and hard-core Bose gases in thin-film geometry. These calculations indicate that a Bose gas at liquid-helium densities possesses a statistical correlation length of about 70 Å, representing the thickness beyond which the thermodynamic behavior of the film closely approximates that of the bulk system. Some indication of this behavior may be implicit in recent experimental results both on superfluid flow in thin helium films and on the properties of liquid helium confined to small pores.