Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

• Main Author: Francisco W. S. Lima
• Format: Article
• Language: English
• Published: Frontiers Media S.A. 2017-09-01
• Series: Frontiers in Physics
• Subjects: Monte Carlo simulation; critical exponents; phase transition; non-equilibrium; 05.10.Ln; 05.70.Fh
• Online Access: http://journal.frontiersin.org/article/10.3389/fphy.2017.00047/full
• ISSN: 2296-424X

Here, the critical properties of kinetic continuous opinion dynamics model are studied on (4, 6, 12) and (4, 82) Archimedean lattices. We obtain pc 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 pc = 0.086(3) and O4*=0.59(2) for (4, 6, 12); and pc = 0.109(3) and O4*=0.606(5) for (4, 82) lattices and also the exponent ratios β/ν, γ/ν, and 1/ν are, respectively: 0.23(7), 1.43(5), and 0.60(3) for (4, 6, 12); and 0.149(4), 1.56(4), and 0.94(4) for (4, 82) lattices. Our new results disprove of the Grinstein criterion.