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arXiv · 1001.2918

Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices

F. P. Fernandes·F. W. S. Lima·J. A. Plascak
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Abstract

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the critical point exponents are obtained. For the undi- rected case this random system belongs to the same universality class as the regular two-dimensional model. However, for the directed random lattice one has a second-order phase transition for q < qc and a first-order phase transition for q > qc, where qc is the critical rewiring probability. The critical exponents for q < qc was calculated and they do not belong to the same universality class as the regular two-dimensional ferromagnetic model.

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BibTeXRIS

F. P. Fernandes, F. W. S. Lima, J. A. Plascak. 2010-01-17. Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices. https://doi.org/10.1016/j.cpc.2010.03.007

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