Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
Statistical Mechanics
2012-11-01 v2 Soft Condensed Matter
High Energy Physics - Theory
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 Schr\"odinger 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.
Cite
@article{arxiv.1205.6613,
title = {Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces},
author = {H. W. Diehl and Daniel Grüneberg and Martin Hasenbusch and Alfred Hucht and Sergei B. Rutkevich and Felix M. Schmidt},
journal= {arXiv preprint arXiv:1205.6613},
year = {2012}
}
Comments
5 pages, 2 figures