Proposed fitting function for the critical Casimir force on ${}^4$He film below the $\lambda$ point

Abstract

We have extended the mean field calculation of Zandi et al [1] and have obtained an approximate mathematical expression for the Casimir scaling function, which if extrapolated to the domain ${\pi }^2\ge -y\ge 0$, becomes surprisingly similar to that obtained experimentally by Ganshin et al [2]. The extrapolated scaling function can be regarded as a proposed fitting function, that appears to agree better with the experiments [2] in D=3, than the exact mean field result of Zandi et al [1].

A few printing mistakes in the published version have been corrected

References in corpus (6)

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