Ising Model Universality for Two-Dimensional Lattices
High Energy Physics - Lattice
2009-10-22 v1
Abstract
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.
Cite
@article{arxiv.hep-lat/9310025,
title = {Ising Model Universality for Two-Dimensional Lattices},
author = {W. Janke and M. Katoot and R. Villanova},
journal= {arXiv preprint arXiv:hep-lat/9310025},
year = {2009}
}
Comments
LaTeX file, 10 pages, 3 ps figures, preprint UAB-FT-318