title: Universal phase boundary shifts for corner wetting and filling.
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 R(d)(psi) depending only on the opening angle 2psi. R(d)(psi) is determined exactly in d = 2 and approximately in higher dimensions using nonclassical local functional and mean-field theory. Detailed numerical transfer matrix studies of the magnetization profile in finite-size Ising squares support the conjectured connection between filling and the strong-fluctuation regime of wetting.
authors.affiliation: Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom.
authors.forename: A O
authors.initials: AO
authors.lastname: Parry
authors.forename: A J
authors.initials: AJ
authors.lastname: Wood
authors.forename: E
authors.initials: E
authors.lastname: Carlon
authors.forename: A
authors.initials: A
authors.lastname: Drzewiński