https://doi.org/10.1007/s100510050015
Continuous phase transition in a disordered eight-states Potts model
Departamento de Física, Universidade Federal do Ceará, Fortaleza-CE,
Brazil
Corresponding author: a uriel@fisica.ufc.br
Received:
19
May
1999
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
