Effective Ginzburg-Landau model for superfluid 4 He

Abstract

We propose an effective Ginzburg-Landau energy functional for superfluid helium that is motivated by the ideal Bose gas model. The parameters of this phenomenological model are adjusted to known properties of the bulk system. The motivation and the field of applications of this model are quite similar to that of the Psi theory by Ginzburg and Sobyanin. The correlation length, the depression of the transition temperature in helium films and the density profile at a boundary are calculated.

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