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

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 $N\!=\!2562$.