Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
| Autor: | Alfred Hucht, Felix M. Schmidt, H. W. Diehl, Sergei B. Rutkevich, Daniel Grüneberg, Martin Hasenbusch |
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| Rok vydání: | 2012 |
| Předmět: |
Physics
High Energy Physics - Theory Discretization Statistical Mechanics (cond-mat.stat-mech) Monte Carlo method General Physics and Astronomy FOS: Physical sciences Physik (inkl. Astronomie) Condensed Matter - Soft Condensed Matter Casimir effect Exact solutions in general relativity Classical mechanics High Energy Physics - Theory (hep-th) Critical point (thermodynamics) Soft Condensed Matter (cond-mat.soft) Wetting Condensed Matter - Statistical Mechanics Three dimensional model |
| DOI: | 10.48550/arxiv.1205.6613 |
| Popis: | 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. Comment: 5 pages, 2 figures |
| Databáze: | OpenAIRE |
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