The KCOD Model on (3, 4, 6, 4) and (34, 6) Archimedean Lattices

Through Monte Carlo simulations, we studied the critical properties of kinetic models of continuous opinion dynamics on (3, 4, 6, 4) and (34, 6) Archimedean lattices. We obtain pc and the critical exponents’ ratio from extensive Monte Carlo studies and finite size scaling. The calculated values of the critical points and Binder cumulant are pc = 0.085(6) and O∗ 4 = 0.605(9); and pc = 0.146(5) and O∗ 4 = 0.606(3) for (3, 4, 6, 4) and (3 4, 6) lattices, respectively, while the exponent ratios β/ν, γ/ν and 1/ν are, respectively: 0.126(1), 1.50(7), and 0.90(5) for (3, 4, 6, 4); and 0.125(3), 1.54(6), and 0.99(3) for (34, 6) lattices. Our new results agree with majority-vote model on previously studied regular lattices and disagree with the Ising model on square-lattice.