Phase transitions of a tethered membrane model on a torus with intrinsic curvature

TL;DR

This paper investigates a tethered membrane model on a torus with intrinsic curvature, revealing a first-order phase transition between smooth and crumpled phases through Monte Carlo simulations.

Contribution

It demonstrates the existence of a first-order phase transition in a tethered membrane model with intrinsic curvature on a torus, using canonical Monte Carlo methods.

Findings

First-order phase transition identified

Transition occurs between smooth and crumpled phases

Monte Carlo simulation confirms the phase change

Abstract

A tethered surface model is investigated by using the canonical Monte Carlo simulation technique on a torus with an intrinsic curvature. We find that the model undergoes a first-order phase transition between the smooth phase and the crumpled one.