Abstract

We study the effect of finite system size on the tension 7 of a three-phase contact line. This is especially important in systems with forces that are sufficiently long-ranged for 7 to diverge in the thermodynamic limit. Near wetting phase transitions we propose an anisotropic finite-size scaling hypothesis, which takes into account the effect of thermal capillary-wave fluc- tuations. The singular behaviour of T near a first-order wetting transition is analyzed. Scaling functions are calculated explicitly in the mean-field regime, which includes the physically most common systems with van der Wads forces in dimension d = 3.

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