Single-Cluster Monte Carlo Study of the Ising Model on Two-Dimensional Random Lattices

Abstract

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices with up to 80,000 sites which are linked together according to the Voronoi/Delaunay prescription. In one set of simulations we use reweighting techniques and finite-size scaling analysis to investigate the critical properties of the model in the very vicinity of the phase transition. In the other set of simulations we study the approach to criticality in the disordered phase, making use of improved estimators for measurements. From both sets of simulations we obtain clear evidence that the critical exponents agree with the exactly known exponents for regular lattices, i.e., that (lattice) universality holds for the two-dimensional Ising model.

uuencoded postscript file, 34 pages, preprint UAB-FT-320

References in corpus (2)

• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• Ising Model Universality for Two-Dimensional Lattices

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