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, J(r) = J0 exp (-ar), 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 γ/ν 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
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Received 5 April 2000
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Lima, F., Costa, U., Almeida, M. et al. Critical behavior of a three-state Potts model on a Voronoi lattice. Eur. Phys. J. B 17, 111–114 (2000). https://doi.org/10.1007/s100510070165
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DOI: https://doi.org/10.1007/s100510070165