Magnetic models on various topologies

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, Barabási-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.

arXiv comment4 pages. Brazilian Meeting on Simulational Physics

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Cited by in corpus (3)

• Ising Model on a random network with annealed or quenched disorder
• Two-dimensional Ising model on random lattices with constant coordination number
• Universality of continuous phase transitions on random Voronoi graphs