Thursday, May 31, 2012

1205.6613 (H. W. Diehl et al.)

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

H. W. Diehl, Daniel Grüneberg, Martin Hasenbusch, Alfred Hucht, Sergei B. Rutkevich, Felix M. Schmidt
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.
View original: http://arxiv.org/abs/1205.6613

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