Monte Carlo Simulation of Self-Avoiding Surfaces in Three Dimensions

Abstract

We present a new Monte Carlo algorithm for self-avoiding surfaces in a grand canonical ensemble. The topology of the surfaces is kept planar but the boundary is allowed to fluctuate during the simulation. The measured critical exponents $\nu =0.504\mathrm{}\pm 0.016$, $\theta =1.48\mathrm{}\pm 0.17$ indicate that this model belongs to the universality class of branched polymers in three dimensions.