Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

Francisco W. S. Lima
2017 Frontiers in Physics  
Here, the critical properties of kinetic continuous opinion dynamics model are studied on (4, 6, 12) and (4, 8 2 ) Archimedean lattices. We obtain p c and the critical exponents from Monte Carlo simulations and finite size scaling. We found out the values of the critical points and Binder cumulant that are p c = 0.086(3) and O * 4 = 0.59(2) for (4, 6, 12); and p c = 0.109(3) and O * 4 = 0.606( 5 ) for (4, 8 2 ) lattices and also the exponent ratios β/ν, γ /ν, and 1/ν are, respectively: 0.23(7),
more » ... 1.43(5), and 0.60(3) for (4, 6, 12); and 0.149(4), 1.56(4), and 0.94(4) for (4, 8 2 ) lattices. Our new results disprove of the Grinstein criterion.
doi:10.3389/fphy.2017.00047 fatcat:cuoauqcbsbah7fgvpim7qyq56y