Physical adsorption near an oblique corner

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Abstract
We study physical adsorption of multilayer liquid films in the vicinity of an oblique corner formed by the intersection of two planar surfaces. This is a simplified example of the geometry in a porous medium. The film-vapor interface is determined by minimizing the free energy of the system. The excess coverage is studied as a function of film thickness d and the corner angle 2θ. Numerical results are presented in terms of a characteristic (capillary) length scale ζ, which divides the behavior into two thickness regimes. Surface tension dominates if d≫ζ, but has a negligible effect if d≪ζ.