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arXiv · 1205.6613

Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces

H. W. Diehl·Daniel Grüneberg·Martin Hasenbusch·Alfred Hucht·Sergei B. Rutkevich·Felix M. Schmidt
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Abstract

The limit n to infinity of the classical O(n) phi^4 model on a 3d film with free surfaces is studied. Its exact solution involves a self-consistent 1d Schrödinger equation, which is solved numerically for a partially discretized as well as for a fully discrete lattice model. Numerically exact results are obtained for the scaled Casimir force at all temperatures. Obtained via a single framework, they exhibit all relevant qualitative features of the thermodynamic Casimir force known from wetting experiments on Helium-4 and Monte Carlo simulations, including a pronounced minimum below the bulk critical point.

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H. W. Diehl, Daniel Grüneberg, Martin Hasenbusch, Alfred Hucht, Sergei B. Rutkevich, Felix M. Schmidt. 2012-10-31. Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces. https://doi.org/10.1209/0295-5075%2F100%2F10004

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