Year: 2010
Type: article
Abstract: We consider the Ising model for two interacting groups of spins embedded in an Erdös–Rényi random graph. The critical properties of the system are investigated by means of extensive Monte Carlo simulations. Our results evidence the existence of a phase transition at a value of the inter-groups interaction coupling J 12 C which depends algebraically on the dilution of the graph and on the relative width of the two populations, as explained by means of scaling arguments. We also measure the critical exponents, which are consistent with those of the Curie–Weiss model, hence suggesting a wide robustness of the universality class.
Authors: E Agliari, R Burioni, P Sgrignoli
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2154862166