The Thermodynamic Casimir Effect in ${}^4$He Films near $T_{\lambda }$: Monte Carlo Results

Abstract

The universal finite-size scaling function of the critical Casimir force for the three dimensional XY universality class with Dirichlet boundary conditions is determined using Monte Carlo simulations. The results are in excellent agreement with recent experiments on ${}^4$He Films at the superfluid transition and with available theoretical predictions.

5 pages, 4 figures, accepted for publication in Phys. Rev. Lett

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