1995/07/07 by Wolfhard Janke, Ramon Villanova
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-lat
paper · pdf · doi:10.1016/0375-9601(95)00813-9
published as Phys. lett. A209 (1995) 179 · 9 pages, uuencoded, includes 5 figures, 122332 bytes
arxiv created 1995/07/07 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We use two-dimensional Poissonian random lattices of Voronoi/ Delaunay type to study the effect of quenched coordination number randomness on the nature of the phase transition in the eight-state Potts model, which is of first order on regular lattices. From extensive Monte Carlo simulations we obtain strong evidence that the phase transition remains first order for this type of quenched randomness. Our result is in striking contrast to a recent Monte Carlo study of quenched bond randomness for which the order of the phase transition changes from first to second order.