Critical temperature of the superfluid transition in bose liquids
Sergey M. Apenko
Abstract
A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating Tλ to the mean kinetic energy per particle above the transition. The suppression of the critical temperature in a sufficiently dense liquid is described as a result of the quantum decoherence phenomenon. The theory can account for the observed dependence of Tλ on density in liquid helium and results in an estimate Tλ 1.1 K for molecular hydrogen.
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