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Cassie's Law and Concavity of Wall Tension with Respect to Disorder

Authors:	François Dunlop Krzysztof Topolski

Affiliation:	(1) Laboratoire de Physique Théorique et Modélisation (CNRS-ESA 8089), Université de Cergy-Pontoise, 95031 Cergy-Pontoise, France;(2) Mathematical Institute, University of Wrocaw, 50384 Wrocaw, Poland

Abstract:	For the semiinfinite Ising model with quenched boundary disorder, we prove concavity inequalities for the difference of wall tensions associated with the minus and plus phases. These inequalities generalize phenomenological equalitiesknown as Cassie's law.

Keywords:	Ising model correlation inequalities surface tension disorder
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