Critical behaviour of random surfaces on the cubic lattice
- 11 November 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (16) , 3375-3393
- https://doi.org/10.1088/0305-4470/19/16/033
Abstract
The phase diagram and the critical behaviour of an (intersecting) random surface gas model in three dimensions is studied by means of Monte Carlo simulations. The critical exponents alpha , beta , gamma and delta are evaluated in the 'critical window' between the finite-size rounding and the correction-to-scaling regime. Within error bars, Ising exponents for the self-avoiding case (and along critical lines) and mean-field behaviour at tricritical points are obtained. For the self-avoiding planar surface model the Hausdorff dimension is calculated (dH=2.30+or-0.05).Keywords
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