Phase Transition of a Skeleton Model for Surfaces

TL;DR

This paper investigates a spherical skeleton model with junctions using Monte Carlo simulations, revealing a first-order phase transition between smooth and crumpled phases, highlighting the significant role of junctions.

Contribution

It introduces a new skeleton surface model with junctions governed by bending energy and demonstrates its phase transition behavior through simulations.

Findings

The model exhibits a first-order phase transition.

Junctions significantly influence the phase transition.

The transition separates smooth and crumpled surface phases.

Abstract

A spherical model of skeleton with junctions is investigated by Monte Carlo simulations. The model is governed by one-dimensional bending energy. The results indicate that the model undergoes a first-order transition separating the smooth phase from the crumpled phase. The existence of phase transition indicates that junctions play a non-trivial role in the transition.