Fluid Random Surfaces with Extrinsic Curvature: II

Abstract

We present the results of an extension of our previous work on large-scale simulations of dynamically triangulated toroidal random surfaces embedded in $R^3$ with extrinsic curvature. We find that the extrinsic-curvature specific heat peak ceases to grow on lattices with more than 576 nodes and that the location of the peak ${\text{lam}}_c$ also stabilizes. The evidence for a true crumpling transition is still weak. If we assume it exists we can say that the finite-size scaling exponent $\frac{\alpha }{\nu d}$ is very close to zero or negative. On the other hand our new data does rule out the observed peak as being a finite-size artifact of the persistence length becoming comparable to the extent of the lattice.

Comments: LaTeX, 11 pages, two figures, (the original version of this paper had an hep-lat preprint number instead of an hep-th number- this is the only change)