Abstract
In a soluble model we investigate the role of geometrical shape fluctuations for the equilibrium properties of a polydisperse ensemble of two-dimensional droplets. Interactions within a droplet include bending rigidity and spontaneous curvature. Interactions between droplets are omitted. Taking rigorous account of all possible shapes of the individual droplets, the droplet-size distribution is found for arbitrary temperature. The fluctuation-dominated regime extends to temperatures far lower than expected from a mean-field calculation.
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