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Fluid Random Surfaces with Extrinsic Curvature: II

Konstantinos Anagnostopoulos·Mark Bowick·Paul Coddington·Marco Falcioni·Leping Han·Geoffrey Harris·Enzo Marinari
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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 $\frac α {νd}$ 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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Konstantinos Anagnostopoulos, Mark Bowick, Paul Coddington, Marco Falcioni, Leping Han, Geoffrey Harris, Enzo Marinari. 1993-08-19. Fluid Random Surfaces with Extrinsic Curvature: II. https://doi.org/10.1016/0370-2693(93)91577-a

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