Abstract

The phase diagram of a model of rectangular vesicles in three dimensions is examined. The scaling of the generating function is determined in the area–perimeter, volume–area and volume–perimeter ensembles. The results are interpreted within the framework of tricritical scaling, and the crossover exponents associated with the transitions are determined. We identify three phases in the phase diagram, a needle phase, a disc phase and a cubical phase. These phases are separated by three curves of transitions that meet in a multicritical point.

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