Potts Model With q=3 States on Directed Erdös-Rènyi Random Graphs

Abstract

We study the behavior critical of the Potts model with 3 states on Solomon networks using Monte Carlo simulations. Our results show that this presents a first-order phase transition. These results are different of the Potts model with 3 states on a square lattice that present a second-order phase transition. However, these are consistent with the results of the Potts model on Erdös–Rényi random graphs.