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Monte Carlo simulation results for critical Casimir forces

2007/08/21 by O. Vasilyev, A. Gambassi, A. Maciolek +2
Engineering · Physics and Astronomy · #Binary number #Casimir effect #Critical phenomena #Ising model #Monte Carlo method #Phase Equilibria and Thermodynamics #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #Renormalization group #Scaling #Universality (dynamical systems) #Wetting #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/80/60009

published as Europhys. Lett. 80, 60009 (2007) · 14 pages, 5 figures

arxiv created 2007/08/21 · openalex publication_date 2007/11/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 agree well with corresponding experimental results for wetting layers of classical binary liquid mixtures and of 4 He, respectively.

Citations