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Universal phase boundary shifts for corner wetting and filling

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Publication details

JournalPhysical Review Letters
DatePublished - 2001
Issue number19/196103
Number of pages3
Pages (from-to)1-4
Original languageEnglish


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

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