Monte Carlo simulation results for critical Casimir forces

Abstract

The confinement of critical fluctuations in soft media induces critical Casimir forces acting on the confining surfaces. The temperature and geometry dependences of such forces are characterized by universal scaling functions. A novel approach is presented to determine them for films via Monte Carlo simulations of lattice models. The method is based on an integration scheme of free energy differences. Our results for the Ising and the XY universality class compare favourably with corresponding experimental results for wetting layers of classical binary liquid mixtures and of 4He, respectively.

14 pages, 5 figures

References in corpus (1)

• Critical Casimir Effect in superfluid wetting films

Cited by in corpus (10)

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• Critical Casimir force in slab geometry with finite aspect ratio: analytic calculation above and below $T_c$
• Critical Casimir amplitudes for $n$-component ${\varphi }^4$ models with O(n)-symmetry breaking quadratic boundary terms