Phase behavior of an ensemble of nonintersecting random fluid films.

A simple continuum model of random fluid films is considered in which one neglects any interactions other than simple self- avoidance, and allows arbitrary topology of the film assembly. The phenomenological film or random surface Hamiltonian, on which the equilibrium statistical mechanical description of the model is based, includes both the usual area term and two curvature terms ( with the extrinsic (mean) as well as the intrinsic (Gaussian) curvatures). Our treatment is fully in the grand canonical ensemble, without any constraints on the shape and total area of film present.