TY - JOUR
T1 - Potts Model with q States on Directed Barabási-Albert Networks
AU - F. W. S. Lima
JO - Communications in Computational Physics
VL - 3
SP - 522
EP - 529
PY - 2007
DA - 2007/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7916.html
KW - Monte Carlo simulation, Ising, networks, disorder.
AB - <p style="text-align: justify;">On directed Barabási-Albert networks with two and seven neighbours selected by each added site, the Ising model with spin S = 1/2 was seen not to show a
spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation
followed an Arrhenius law for Metropolis and Glauber algorithms, but for Wolff cluster flipping the magnetisation decayed exponentially with time. However, on these
networks the Ising model spin S =1 was seen to show a spontaneous magnetisation.
In this case, a first-order phase transition for values of connectivity z = 2 and z = 7 is
well defined. On these same networks the Potts model with q=3 and 8 states is now
studied through Monte Carlo simulations. We also obtained for q = 3 and 8 states a
first-order phase transition for values of connectivity z = 2 and z = 7 for the directed
Barabási-Albert network. Theses results are different from the results obtained for the
same model on two-dimensional lattices, where for q=3 the phase transition is of second order, while for q=8 the phase transition is of first-order.</p>