Phase Transition of Extrinsic Curvature Surface Model on a Disk

TL;DR

This paper uses Monte Carlo simulations to study an extrinsic curvature surface model on a disk, revealing a first-order phase transition between smooth and collapsed phases, independent of surface compactness.

Contribution

It demonstrates that the phase transition order is unaffected by whether the surface is open or closed, extending previous findings.

Findings

First-order transition observed between smooth and collapsed phases.

Transition order is independent of surface compactness.

Monte Carlo simulations effectively analyze surface phase behavior.

Abstract

An extrinsic curvature surface model is investigated by Monte Carlo simulations on a disk. We found that the model undergoes a first-order transition separating the smooth phase from the collapsed phase. The results in this paper together with the previous ones suggest that the order of the transition is independent of whether the surface is compact (closed) or non-compact (open).