Volume 100, Number 1, October 2012
|Number of page(s)||5|
|Published online||17 October 2012|
Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
1 Fakultät für Physik, Universität Duisburg-Essen - D-47058 Duisburg, Germany, EU
2 Institut für Physik, Humboldt-Universität zu Berlin - Newtonstr. 15, D-12489 Berlin, Germany, EU
3 Institute of Solid State and Semiconductor Physics - Minsk, Belarus
Received: 6 August 2012
Accepted: 11 September 2012
The limit n → ∞ of the classical O(n) ϕ4 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. Extremely precise 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 4He and Monte Carlo simulations, including a pronounced minimum below the bulk critical point.
PACS: 05.70.Jk – Critical point phenomena / 11.10.-z – Field theory / 64.60.an – Finite-size systems
© EPLA, 2012
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