J. Phys. I France
Volume 3, Numéro 6, June 1993
Page(s) 1359 - 1370
DOI: 10.1051/jp1:1993184
J. Phys. I France 3 (1993) 1359-1370

The Crumpling Transition of Dynamically Triangulated Random Surfaces

Christian Münkel and Dieter W. Heermann

Institut für theoretische Physik, Universität Heidelberg, Philosophenweg 19, 6900 Heidelberg, Germany

(Received 2 February 1993, accepted 9 February 1993)

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.

05.90 - 64.60A - 64.60F - 68.10 - 87.20C - 12.90

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