Eur. Phys. J. B 17, 111-114 (2000)
https://doi.org/10.1007/s100510070165

Critical behavior of a three-state Potts model on a Voronoi lattice

¹ Departamento de Física, Universidade Federal do Ceará, 60455-760 Fortaleza, Ceará, Brazil
² Universidade Estadual Vale do Acaraú, Sobral, Ceará, Brazil
³ PMMH-ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France

Received: 5 April 2000
Published online: 15 September 2000

Abstract

We use the single-histogram technique to study the critical behavior of the three-state Potts model on a (random) Voronoi-Delaunay lattice with size ranging from 250 to 8 000 sites. We consider the effect of an exponential decay of the interactions with the distance, , with a> 0, and observe that this system seems to have critical exponents γ and ν which are different from the respective exponents of the three-state Potts model on a regular square lattice. However, the ratio remains essentially the same. We find numerical evidences (although not conclusive, due to the small range of system size) that the specific heat on this random system behaves as a power-law for a=0 and as a logarithmic divergence for a=0.5 and a=1.0