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
August 1993
Published in
Phys. Lett. B 317, 102 (1993).
© Copyright American Physical Society.
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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