Ising Model Universality for Two-Dimensional Lattices

Details Ising Model Universality for Two-Dimensional Lattices Ising Model Universality for Two-Dimensional Lattices

1993-10-25

arxiv.org/abs/hep-lat/9310025v1

Phys.Lett. B315 (1993) 412-416

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX file, 10 pages, 3 ps figures, preprint UAB-FT-318

Scientific paper

10.1016/0370-2693(93)91633-X

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices of Delaunay type with up to 80\,000 sites. By applying reweighting techniques and finite-size scaling analyses to time-series data near criticality, we obtain unambiguous support that the critical exponents for the random lattice agree with the exactly known exponents for regular lattices, i.e., that (lattice) universality holds for the two-dimensional Ising model.

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