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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster II
DY 29.4: Poster
Donnerstag, 28. Februar 2008, 16:00–18:00, Poster C
Thermodynamic Casimir forces of n-component systems in slab geometries with free surfaces: Exact results for n→∞ — •Denis Comtesse, Alfred Hucht, Daniel Grüneberg, and Hans Werner Diehl — Fachbereich Physik, Universität Duisburg-Essen, D-47048 Duisburg
The O(n) φ4-model on a three-dimensional slab of thickness L and infinite lateral extension is investigated in the large-n limit. The resulting self-consistent Schrödinger-type equation is solved numerically to determine the resulting Casimir force at and near the bulk critical temperature exactly. This enables us to study the physically relevant case of free boundary conditions, corresponding to a spherical model with separate constraints for each layer parallel to the confining surfaces. The resulting large-n limit of the Casimir amplitude is obtained. To check the method, the Casimir amplitude for periodic boundary conditions is computed as well and found to be in excellent agreement with the analytically known exact result.