Curvature effects on the surface thickness and tension at the free interface of $^4$He systems

The thickness $W$ and the surface energy $σ_A$ at the free interface of superfluid $^4$He are studied. Results of calculations carried out by using density functionals for cylindrical and spherical systems are presented in a unified way, including a comparison with the behavior of planar slabs. It is found that for large species $W$ is independent of the geometry. The obtained values of $W$ are compared with prior theoretical results and experimental data. Experimental data favor results evaluated by adopting finite range approaches. The behavior of $σ_A$ and $W σ_A$ exhibit overshoots similar to that found previously for the central density, the trend of these observables towards their asymptotic values is examined.

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