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Article

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

Dietrich Stauffer Computational Physics Lab, Departamento de Física Universidade Federal do Piauí, Teresina 64049-550, Brazil
Entropy 2017, 19(9), 459; https://doi.org/10.3390/e19090459
Received: 23 July 2017 / Revised: 18 August 2017 / Accepted: 30 August 2017 / Published: 31 August 2017
(This article belongs to the Special Issue Statistical Mechanics of Complex and Disordered Systems)
Through Monte Carlo simulations, we studied the critical properties of kinetic models of continuous opinion dynamics on ( 3 , 4 , 6 , 4 ) and ( 3 4 , 6 ) Archimedean lattices. We obtain p c 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 p c = 0 . 085 ( 6 ) and O 4 * = 0 . 605 ( 9 ) ; and p c = 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 ( 3 4 , 6 ) lattices. Our new results agree with majority-vote model on previously studied regular lattices and disagree with the Ising model on square-lattice. View Full-Text
Keywords: nonequilibrium; phase transition; Monte Carlo simulations nonequilibrium; phase transition; Monte Carlo simulations
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MDPI and ACS Style

De Sousa Lima, F.W. The KCOD Model on (3,4,6,4) and (34,6) Archimedean Lattices. Entropy 2017, 19, 459. https://doi.org/10.3390/e19090459

AMA Style

De Sousa Lima FW. The KCOD Model on (3,4,6,4) and (34,6) Archimedean Lattices. Entropy. 2017; 19(9):459. https://doi.org/10.3390/e19090459

Chicago/Turabian Style

De Sousa Lima, Francisco W. 2017. "The KCOD Model on (3,4,6,4) and (34,6) Archimedean Lattices" Entropy 19, no. 9: 459. https://doi.org/10.3390/e19090459

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