NPAC Technical Report SCCS-511

The Fluid Random Surfaces with Extrinsic Curvature: II

K Anagnostopoulos, M Bowick, P Coddington, M Falcioni, L Han, G Harris, E Marinari

Submitted August 09 1993


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 $\lam_c$ 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.


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