EXACT TREATMENT OF INTERFACE FLUCTUATIONS IN A 2-DIMENSIONAL EMULSION

We present a model for a polydisperse ensemble of two-dimensional drop lets wich accounts for the effects of arbitrarily large distortions of the droplet shape. Interactions within a droplet include bending rigi dity and spontaneous curvature. Interactions between droplets are omit ted. Even at high temperatures, the effects of the shape fluctuations on the droplet size distribution remain small, as they are dominated b y the contributions from the mixing entropy. In contrast, shape fluctu ations lead to a pronounced peak in thermodynamic quantities like spec ific heat. This peak occurs at temperatures where thermal excitations become of the order of the bending energies of the droplet surface. Th e fluctuation-dominate regime extends to temperatures far lower than e xpected from a mean-field calculation.