Branched-polymer to inflated transition of self-avoiding fluid surfaces

TL;DR

This paper investigates the phase transition of self-avoiding fluid surfaces on triangulated lattices, revealing a continuous transition between branched polymer and inflated phases at zero pressure difference, characterized by volume changes and surface fluctuations.

Contribution

It demonstrates a continuous phase transition between branched polymer and inflated phases in self-avoiding fluid surfaces using Monte Carlo simulations, a novel insight into surface phase behavior.

Findings

Identifies a continuous transition at zero pressure difference.

Characterizes transition by volume change and surface fluctuation behavior.

No fluctuation transition observed up to 2562 vertices.

Abstract

We study phase transition of self-avoiding fluid surface model on dynamically triangulated lattices using the Monte Carlo simulation technique. We report the continuous transition between the branched polymer and inflated phases at ${\it \Delta}p \!=\!0$, where ${\it \Delta}p (=\!p_{\rm in}\!-\!p_{\rm out})$ is the pressure difference between the inner and outer sides of the surface. This transition is characterized by almost discontinuous change of the enclosed volume versus the variations of the bending rigidity $\kappa$ and the pressure difference ${\it \Delta}p$. No surface fluctuation transition accompanies this transition up to the surface with the number of vertices $N\!=\!2562$.