Tricritical Casimir forces and order parameter profiles in wetting films of ${}^3\text{He}$ -${}^4\text{He}$ mixtures

Abstract

Tricritical Casimir forces in ${}^3\text{He}$ -${}^4\text{He}$ wetting films are studied, within mean field theory, in therms of a suitable lattice gas model for binary liquid mixtures with short--ranged surface fields. The proposed model takes into account the continuous rotational symmetry O(2) of the superfluid degrees of freedom associated with ${}^4\text{He}$ and it allows, inter alia, for the occurrence of a vapor phase. As a result, the model facilitates the formation of wetting films, which provides a strengthened theoretical framework to describe available experimental data for tricritical Casimir forces acting in ${}^3\text{He}$ -${}^4\text{He}$ wetting films.

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Cited by in corpus (1)

• Critical $1$- and $2$-point spin correlations for the $O(2)$ model in $3d$ bounded domains