Fluid Random Surfaces with Extrinsic Curvature: II

Details Fluid Random Surfaces with Extrinsic Curvature: II Fluid Random Surfaces with Extrinsic Curvature: II

1993-08-19

arxiv.org/abs/hep-th/9308091v2

Phys.Lett. B317 (1993) 102-106

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages, two figures, (the original version of this paper had an hep-lat preprint number instead of an hep-th number-

Scientific paper

10.1016/0370-2693(93)91577-A

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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