Universal phase boundary shifts for corner wetting and filling

Details Universal phase boundary shifts for corner wetting and filling Universal phase boundary shifts for corner wetting and filling

2001-10-31

arxiv.org/abs/cond-mat/0110653v1

Physics

Condensed Matter

Statistical Mechanics

3 Figures, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.87.196103

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 $2\psi$. $R_d(\psi)$ 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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