Non mean-field behaviour of critical wetting transition for short-range forces

Abstract

Critical wetting transition for short-range forces in three dimensions ($d=3$) is reinvestigated by means of Monte Carlo simulation. Using anisotropic finite size scaling approach, as well as approaches that do not rely on finite size scaling, we show that the critical wetting transition shows clear deviation from mean-field behaviour. We estimate that the effective critical exponent ${\nu }_{\Vert }^{\text{eff}}=1.76\pm 0.08$ for $J/kT=0.35$ and ${\nu }_{\Vert }^{\text{eff}}=1.85\pm 0.07$ for $J/kT=0.25$. These values are in accord with predictions of Parry {\it et al.} [Phys. Rev. Lett. {\bf 100}, 136105 (2008)]. We also point out that the anisotropic finite size scaling approach in $d=3$ requires additional modification in order to reach full consistency of simulational results.

References in corpus (1)

• Wetting Transition in the Two-Dimensional Blume-Capel Model: A Monte Carlo study

Cited by in corpus (8)

• A unified description of hydrophilic and superhydrophobic surfaces in terms of the wetting and drying transitions of liquids
• Critical Drying of Liquids
• Drying and Wetting Transitions of a Lennard-Jones Fluid: Simulations and Density Functional Theory
• Capillary Wave Theory of Adsorbed Liquid Films and the Structure of the Liquid-Vapor Interface
• Heterogeneous Nucleation of a Droplet Pinned at a Chemically Inhomogeneous Substrate: A Simulation Study of the Two-dimensional Ising Case
• Curvature corrections to the nonlocal interfacial model for short-ranged forces
• The influence of the Casimir effect on the binding potential for 3D wetting
• Casimir contribution to the interfacial Hamiltonian for 3D wetting