2013/10/21 by F. W. S. Lima, J. A. Plascak · 1 citation
Mathematics · Physics and Astronomy · #Bravais lattice #Combinatorics #Complex Network Analysis Techniques #Computer science #Condensed matter physics #Critical exponent #Crystal structure #Geometry #Graph #Ising model #Mathematics #Network topology #Opinion Dynamics and Social Influence #Phase transition #Physics #Potts model #Random graph #Spin glass #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #Voronoi diagram #cond-mat.dis-nn
paper · pdf · doi:10.1088/1742-6596/487/1/012011
4 pages. Brazilian Meeting on Simulational Physics
arxiv created 2013/10/21 · openalex publication_date 2014/03/11 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.