Monte Carlo simulation results for critical Casimir forcesO. Vasilyev1, 2, A. Gambassi1, 2, A. Maciolek1, 2, 3 and S. Dietrich1, 2
1 Max-Planck-Institut für Metallforschung - Heisenbergstr. 3, 70569 Stuttgart, Germany
2 Institut für Theoretische und Angewandte Physik, Universität Stuttgart - Pfaffenwaldring 57, 70569 Stuttgart, Germany
3 Institute of Physical Chemistry, Polish Academy of Sciences - Kasprzaka 44/52, 01-224 Warsaw, Poland
received 21 August 2007; accepted in final form 23 October 2007; published December 2007
published online 19 November 2007
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 agree well with corresponding experimental results for wetting layers of classical binary liquid mixtures and of 4He, respectively.
05.70.Jk - Critical point phenomena.
05.10.Ln - Monte Carlo methods.
68.15.+e - Liquid thin films.
© EPLA 2007