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arXiv · 1310.5742

Magnetic models on various topologies

F. W. S. Lima·J. A. Plascak
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Abstract

A brief review is given on the study of the thermodynamic properties of spin models defined on different topologies like small-world, scale-free networks, random graphs and regular and random lattices. Ising, Potts and Blume-Capel models are considered. They are defined on complex lattices comprising Appolonian, Barab\'asi-Albert, Voronoi-Delauny and small-world networks. The main emphasis is given on the corresponding phase transitions, transition temperatures, critical exponents and universality, compared to those obtained by the same models on regular Bravais lattices.

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F. W. S. Lima, J. A. Plascak. 2013-10-21. Magnetic models on various topologies. https://doi.org/10.1088/1742-6596%2F487%2F1%2F012011

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