The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature

TL;DR

This paper reports large-scale simulations of fluid random surfaces with extrinsic curvature, analyzing the transition from crumpled to smooth phases through finite size scaling.

Contribution

It provides new large-scale simulation data and analysis of the phase transition in fluid random surfaces with extrinsic curvature.

Findings

Identification of a crossover regime from crumpled to smooth surfaces

Finite size scaling analysis characterizing the transition

Measurement of local observables related to surface geometry

Abstract

We present the results of a large-scale simulation of a Dynamically Triangulated Random Surface with extrinsic curvature embedded in three-dimensional flat space. We measure a variety of local observables and use a finite size scaling analysis to characterize as much as possible the regime of crossover from crumpled to smooth surfaces.