On the Crumpling Transition in Crystalline Random Surfaces

Abstract

We investigate the crumpling transition on crystalline random surfaces with extrinsic curvature on lattices up to $64^2$. Our data are consistent with a second order phase transition and we find correlation length critical exponent $\nu =0.89\pm 0.07$. The specific heat exponent, $\alpha =0.2\pm 0.15$, is in much better agreement with hyperscaling than hitherto. The long distance behaviour of tangent-tangent correlation functions confirms that the so-called Hausdorff dimension is $d_H=\infty$ throughout the crumpled phase.

9 pages latex plus 5 postscript figures, OUTP 92/40P

References in corpus (2)

• The Theory of Dynamical Random Surfaces with Extrinsic Curvature
• The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature

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• Folding of the triangular lattice in a discrete three-dimensional space: Crumpling transitions in the negative-bending-rigidity regime
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