Abstract

We study phase transitions of a triangulated surface model using the canonical Monte Carlo simulation technique. The model is defined by the Gaussian bond potential and the curvature energy, both of which depend on the metric degrees of freedom of the surface. We find that the model undergoes transitions of shape transformations and that a large fluctuation of the surface area is observed at the transition point. This fluctuation of surface area is considered as a phase transition, and this transition is a non-trivial result, which was not observed in the conventional surface model.

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