Critical Casimir force in the superfluid phase: effect of fluctuations

Details Critical Casimir force in the superfluid phase: effect of fluctuations Critical Casimir force in the superfluid phase: effect of fluctuations

2008-08-04

arxiv.org/abs/0808.0390v5

New J. Phys. 12, 063039 (2010)

Physics

Condensed Matter

Statistical Mechanics

The term $\frac{1}{4b}\xi_0^4k_BT_\lambda$ at the Fig.2-caption in the published version should be read as $\frac{1}{4b\xi_0^4

Scientific paper

10.1088/1367-2630/12/6/063039

We have considered the critical Casimir force on a $^4$He film below and above the bulk $\lambda$ 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 [Phys. Rev. E {\bf 76}, 030601(R) (2007)]. The Casimir scaling function obtained by us approaches a universal constant ($-\frac{\zeta(3)}{8\pi}$) for $T\lesssim 2.13~\text{K}$.

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