Talk presented by Wolfhard Janke

Parallel Session: Spin Models I

Thursday July 1st, 15.50 - 16.10, Room B

Critical Behavior of Ising Spins on 3D Random Lattices

Abstract: We report single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices with up to 128\,000 sites which are linked together according to the Voronoi/Delaunay prescription. For each lattice size quenched averages are computed over 96 realizations. By using reweighting techniques and finite-size scaling analyses we investigate the critical behavior of the model in the close vicinity of the phase transition point. Our data provide strong evidence that, for the considered system sizes, the critical exponent values agree with recent high-precision estimates for the three-dimensional Ising model on regular cubic lattices.

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