Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature

TL;DR

This paper investigates phase transitions in a tethered membrane model on a disk using Monte Carlo simulations, revealing a first-order transition between smooth and crumpled phases driven by intrinsic curvature.

Contribution

It demonstrates the existence of a first-order phase transition in a fixed connectivity membrane model with intrinsic curvature, analyzed through Monte Carlo methods.

Findings

Identification of a first-order phase transition

Transition separates smooth and crumpled phases

Intrinsic curvature influences membrane morphology

Abstract

A first-order phase transition separating the smooth phase from the crumpled one is found in a fixed connectivity surface model defined on a disk. The Hamiltonian contains the Gaussian term and an intrinsic curvature term.