AUTHOR=Lima Francisco W. S. 

TITLE=Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

JOURNAL=Frontiers in Physics

VOLUME=Volume 5 - 2017

YEAR=2017

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2017.00047

DOI=10.3389/fphy.2017.00047

ISSN=2296-424X

ABSTRACT=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 $\beta/\nu$, $\gamma/\nu$ and $1/\nu$ 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 ($4,8^2$) lattices.