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

TL;DR

This paper uses Monte Carlo simulations to determine the universal finite-size scaling function of the critical Casimir force in the 3D XY universality class, aligning well with experimental data on helium films near the superfluid transition.

Contribution

It provides the first Monte Carlo determination of the universal scaling function for the critical Casimir force with Dirichlet boundary conditions in the 3D XY class, confirming experimental and theoretical results.

Findings

Excellent agreement with experimental measurements on helium films.

Validation of Monte Carlo methods for critical Casimir force calculations.

Supports universality of finite-size scaling functions in critical phenomena.

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.