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Universal phase boundary shifts for corner wetting and filling

Parry, A.O., Wood, A.J., Carlon, E. and Drzewiński, A. (2001) Universal phase boundary shifts for corner wetting and filling. Physical Review Letters, 87 (19/196103). pp. 1-4. ISSN 1079-7114

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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 Rd(ψ) depending only on the opening angle 2ψ. Rd(ψ) 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.

Item Type: Article
Academic Units: The University of York > Physics (York)
Depositing User: York RAE Import
Date Deposited: 09 Mar 2009 08:23
Last Modified: 09 Mar 2009 08:23
Published Version: http://dx.doi.org/10.1103/PhysRevLett.87.196103
Status: Published
Publisher: The American Physical Society.
Identification Number: 10.1103/PhysRevLett.87.196103
URI: http://eprints.whiterose.ac.uk/id/eprint/7278

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