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Casimir forces in binary liquid mixtures

1997/03/10 by M. Krech · 2 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #cond-mat.soft

paper · pdf · doi:10.1103/physreve.56.1642

34 pages LaTeX with revtex and epsf style, to appear in Phys. Rev. E

arxiv created 1997/03/10 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If two or more bodies are immersed in a critical fluid, critical fluctuations of the order parameter generate long-ranged forces between these bodies. Due to the underlying mechanism these forces are close analogs of the well-known Casimir forces in electromagnetism. For the special case of a binary liquid mixture near its critical demixing transition, confined to a simple parallel plate geometry, it is shown that the corresponding critical Casimir forces can be of the same order of magnitude as the dispersion (van der Waals) forces between the plates. In wetting experiments or by direct measurements with an atomic force microscope, the resulting modification of the usual dispersion forces in the critical regime should therefore be easily detectable. Analytical estimates for the Casimir amplitudes \ensuremathΔ in d=4\ensuremath-\ensuremathε are compared with corresponding Monte Carlo results in d=3, and their quantitative effect on the thickness of critical wetting layers and on force measurements is discussed.

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