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Critical Casimir Force inHe<mml:mprescripts/><mml:none/>4Films: Confirmation of Finite-Size Scaling

2006/05/26 by A. Ganshin, S. Scheidemantel, R. Garcia +2 · 132 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Casimir effect #Condensed matter physics #Exponent #Geometry #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Superfluidity #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.97.075301

published in Physical Review Letters 97(7), 075301 (American Physical Society) · 4 pages, 3 figures, submitted to PRL

arxiv created 2006/05/26 · openalex publication_date 2006/08/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present new capacitance measurements of critical Casimir force-induced thinning of 4He films near the superfluid transition, focused on the region below T_\ensuremathλ where the effect is the greatest. 4He films of 238, 285, and 340 \AA thickness are adsorbed on atomically smooth, N-doped silicon substrates. The Casimir force scaling function \ensuremathϑ, deduced from the thinning of these three films, collapses onto a single universal curve, attaining a minimum \ensuremathϑ=\ensuremath-1.30\ifmmode±\else\textpm\fi0.03 at x=td^1/\ensuremathν=\ensuremath-9.7\ifmmode±\else\textpm\fi0.8 \AA^1/\ensuremathν. The collapse confirms the finite-size scaling origin of the dip in the film thickness. Separately, we also confirm the presence down to 2.13 K of the Goldstone or surface fluctuation force, which makes the superfluid film \ensuremath∼2 \AA thinner than the normal film.

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