Non-universal critical Casimir force in confined $^4$He near the superfluid transition

Details Non-universal critical Casimir force in confined $^4$He near the superfluid transition Non-universal critical Casimir force in confined $^4$He near the superfluid transition

2002-09-13

arxiv.org/abs/cond-mat/0209321v1

Physics

Condensed Matter

Statistical Mechanics

2 pages, submitted to LT23 Proceedings on June 14, 2002, accepted for publication in Physica B on September 12, 2002

Scientific paper

10.1016/S0921-4526(02)01957-9

We present the results of a one-loop calculation of the effect of a van der Waals type interaction potential $\sim | {\bf x} |^{-d-\sigma}$ on the critical Casimir force and specific heat of confined $^4$He near the superfluid transition. We consider a $^4$He film of thickness $L$. In the region $L \gtrsim \xi$ (correlation length) we find that the van der Waals interaction causes a leading non-universal non-scaling contribution of $O (\xi^2 L^{-d-\sigma})$ to the critical temperature dependence of the Casimir force above $T_\lambda$ that dominates the universal scaling contribution $\sim e^{- L/\xi}$ predicted by earlier theories. For the specific heat we find subleading non-scaling contributions of $O(L^{-1})$ and $O(L^{-d-\sigma})$.

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