The Crumpling Transition of Dynamically Triangulated Random Surfaces

1 June 1993

journal article
Published by EDP Sciences in Journal de Physique I

Vol. 3 (6) , 1359-1370
https://doi.org/10.1051/jp1:1993184

Abstract

We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated random surfaces with edge extrinsic curvature and fixed topology of a sphere as well as simulations of a dynamically triangulated torus. We used longer runs than previous simulations and give new and more accurate estimates of critical exponents. Our data indicate a cusp singularity in the specific heat. The transition temperature, as well as the exponents are topology dependent.

Keywords

CRUMPLING TRANSITION
RANDOM SURFACES
TRIANGULATED RANDOM
DYNAMICALLY TRIANGULATED

All Related Versions

Version 1, 1993-02-08, ArXiv

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