Universal phase boundary shifts for corner wetting and filling
A. O. Parry, A. J. Wood, E. Carlon, A. Drzewiński
Abstract
The phase boundaries for corner wetting (filling) in square and diagonal lattice Ising models are exactly determined and show a universal shift relative to wetting near the bulk criticality. More generally, scaling theory predicts that the filling phase boundary shift for wedges and cones is determined by a universal scaling function Rd(ψ) depending only on the opening angle 2ψ. Rd(ψ) is determined exactly in d=2 and approximately in higher dimensions using non-classical local functional and mean-field theory. Detailed numerical transfer matrix studies of the the magnetisation profile in finite-size Ising squares support the conjectured connection between filling and the strong-fluctuation regime of wetting.
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