First-order phase transition in the tethered surface model on a sphere

Abstract

We show that the tethered surface model of Helfrich and Polyakov-Kleinert undergoes a first-order phase transition separating the smooth phase from the crumpled one. The model is investigated by the canonical Monte Carlo simulations on spherical and fixed connectivity surfaces of size up to N=15212. The first-order transition is observed when N>7000, which is larger than those in previous numerical studies, and a continuous transition can also be observed on small-sized surfaces. Our results are, therefore, consistent with those obtained in previous studies on the phase structure of the model.

6 pages with 7 figures

References in corpus (3)

• First-order transition of tethered membranes in 3d space
• First-order phase transition of fixed connectivity surfaces
• Nonvanishing string tension of elastic membrane models

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