English

Monte Carlo simulation results for critical Casimir forces

Statistical Mechanics 2008-01-10 v1

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.

Keywords

Cite

@article{arxiv.0708.2902,
  title  = {Monte Carlo simulation results for critical Casimir forces},
  author = {O. Vasilyev and A. Gambassi and A. Maciolek and S. Dietrich},
  journal= {arXiv preprint arXiv:0708.2902},
  year   = {2008}
}

Comments

14 pages, 5 figures

R2 v1 2026-06-21T09:09:27.147Z