Dilution of Ferromagnets via a Random Graph-Based Strategy

Te dynamics and behavior of ferromagnets have a great relevance even beyond the domain of statistical physics. In this work, we

propose a Monte Carlo method, based on random graphs, for modeling their dilution. In particular, we focus on ferromagnets with

dimension D?4, which can be approximated by the Curie-Weiss model. Since the latter has as graphic counterpart, a complete

graph, a dilution can be in this case viewed as a pruning process. Hence, in order to exploit this mapping, the proposed strategy

uses a modifed version of the Erdos-Renyi graph model. In doing so, we are able both to simulate a continuous dilution and to ?

realize diluted ferromagnets in one step. Te proposed strategy is studied by means of numerical simulations, aiming to analyze

main properties and equilibria of the resulting diluted ferromagnets. To conclude, we also provide a brief description of further

applications of our strategy in the field of complex networks.