Changeover phenomenon in randomly colored Potts models

Abstract A hybrid Potts model where a random concentration p of the spins assume q 0 states and 1 − > is introduced. It known that when system homogeneous, with an integer spin number or , it undergoes second first order transition, respectively. argued there * such transition nature changed at *. This idea demonstrated analytically by simulations for two different types interaction: usual square lattice nearest neighboring mean field (MF) all-to-all. Exact expressions critical line in concentration-temperature parameter space MF together some other related properties, are derived.