Universal phase boundary shifts for corner wetting and filling - art. no. 196103

The phase boundaries for corner wetting (filling) in square and diagonal la ttice Ising models are exactly determined and show a universal shift relati ve to wetting near the bulk criticality. More generally, scaling theory pre dicts that the filling phase boundary shift for wedges and cones is determi ned by a universal scaling function R-d(psi) depending only on the opening angle 2 psi. R-d(psi) is determined exactly in d = 2 and approximately in h igher 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 filli ng and the strong-fluctuation regime of wetting.