Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations

Details Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations

2008-12-03

arxiv.org/abs/0812.0750v1

Phys. Rev. E 79, 041142 (2009)

Physics

Condensed Matter

Statistical Mechanics

21 pages, 17 figures

Scientific paper

10.1103/PhysRevE.79.041142

Effective Casimir forces induced by thermal fluctuations in the vicinity of bulk critical points are studied by means of Monte Carlo simulations in three-dimensional systems for film geometries and within the experimentally relevant Ising and XY universality classes. Several surface universality classes of the confining surfaces are considered, some of which are relevant for recent experiments. A novel approach introduced previously EPL 80, 60009 (2007), based inter alia on an integration scheme of free energy differences, is utilized to compute the universal scaling functions of the critical Casimir forces in the critical range of temperatures above and below the bulk critical temperature. The resulting predictions are compared with corresponding experimental data for wetting films of fluids and with available theoretical results.

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