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Universal phase boundary shifts for corner wetting and filling

A. O. Parry·A. J. Wood·E. Carlon·A. Drzewiński
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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 $R_d(ψ)$ depending only on the opening angle $2ψ$. $R_d(ψ)$ 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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A. O. Parry, A. J. Wood, E. Carlon, A. Drzewiński. 2001-10-31. Universal phase boundary shifts for corner wetting and filling. https://doi.org/10.1103/physrevlett.87.196103

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