Continuous phase transition in a disordered eight-states Potts model
Departamento de Física, Universidade Federal do Ceará, Fortaleza-CE,
Corresponding author: a firstname.lastname@example.org
Revised: 2 June 1999
Published online: 15 January 2000
We investigate the two-dimensional eight-states ferromagnetic Potts model in the Voronoi-Delaunay tessellation. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as , with . The disordered system is simulated applying the single-cluster Monte-Carlo update algorithm and the reweighting technique. We find that this model displays a first-order phase transition if , in agreement with previous recent studies. For and 1.0, a typical second order transition is observed and the critical exponents for magnetization and susceptibility are calculated.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 68.35.Rh – Phase transitions and critical phenomena / 05.10.Ln – Monte Carlo methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000