The critical casimir force in the superfluid phase: Effect of fluctuations

Abstract

We have considered the critical Casimir force on a 4He film below and above the bulk λ point. We have explored the role of fluctuations around the mean field theory in a perturbative manner, and have substantially improved the mean field result of Zandi et al (2007 Phys. Rev. E 76 030601(R)). The Casimir scaling function obtained by us approaches a universal constant (-ζ(3)/8π) for T ≲ 2.13K. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.