Abstract
For a large class of 1+1 dimensional interfaces of the Solid-On-Solid type we prove on a microscopic basis the validity of the Wulff construction and of the generalized Young equation which gives the contact angle of a sessile drop on a wall. Our proof relies on a new method to treat random walks with a finite number of global constraints.
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Communicated by A. Jaffe
On leave from: Faculte′ des Sciences, Universite′ de l'Etat B-7000 Mons, Belgium
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De Coninck, J., Dunlop, F. & Rivasseau, V. On the microscopic validity of the Wulff construction and of the generalized Young equation. Commun.Math. Phys. 121, 401–419 (1989). https://doi.org/10.1007/BF01217731
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DOI: https://doi.org/10.1007/BF01217731