Monte Carlo simulations are performed to study the two-dimensional Potts models with q = 3 and 4 states on directed small-world network. The
disordered system is simulated applying the heat bath Monte Carlo update
algorithm. The first-order and second-order phase transitions are found for q = 3 depending on the rewiring probability p, but for q = 4 the
system presents only a first-order phase transition for any value p.
This critical behavior is different from the Potts model on a square lattice, where the second-order phase transition is present for q <= 4
and a first-order phase transition is present for q > 4. (C) 2013
Elsevier B.V. All rights reserved.
%0 Journal Article
%1 WOS:000328725200014
%A da Silva, P R O
%A Lima, F W S
%A Filho, R N Costa
%C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
%D 2013
%I ELSEVIER SCIENCE BV
%J COMPUTER PHYSICS COMMUNICATIONS
%K Carlo Ising Networks; Potts Spins; model; model} simulation; {Monte
%N 12
%P 2746-2750
%R 10.1016/j.cpc.2013.07.020
%T Potts model with q=3 and 4 states on directed small-world network
%V 184
%X Monte Carlo simulations are performed to study the two-dimensional Potts models with q = 3 and 4 states on directed small-world network. The
disordered system is simulated applying the heat bath Monte Carlo update
algorithm. The first-order and second-order phase transitions are found for q = 3 depending on the rewiring probability p, but for q = 4 the
system presents only a first-order phase transition for any value p.
This critical behavior is different from the Potts model on a square lattice, where the second-order phase transition is present for q <= 4
and a first-order phase transition is present for q > 4. (C) 2013
Elsevier B.V. All rights reserved.
@article{WOS:000328725200014,
abstract = {Monte Carlo simulations are performed to study the two-dimensional Potts models with q = 3 and 4 states on directed small-world network. The
disordered system is simulated applying the heat bath Monte Carlo update
algorithm. The first-order and second-order phase transitions are found for q = 3 depending on the rewiring probability p, but for q = 4 the
system presents only a first-order phase transition for any value p.
This critical behavior is different from the Potts model on a square lattice, where the second-order phase transition is present for q <= 4
and a first-order phase transition is present for q > 4. (C) 2013
Elsevier B.V. All rights reserved.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS},
author = {da Silva, P R O and Lima, F W S and Filho, R N Costa},
biburl = {https://www.bibsonomy.org/bibtex/25050412a10669a7fc083a42747fbd66d/ppgfis_ufc_br},
doi = {10.1016/j.cpc.2013.07.020},
interhash = {b64b257e2b54141129285bddf736f867},
intrahash = {5050412a10669a7fc083a42747fbd66d},
issn = {0010-4655},
journal = {COMPUTER PHYSICS COMMUNICATIONS},
keywords = {Carlo Ising Networks; Potts Spins; model; model} simulation; {Monte},
number = 12,
pages = {2746-2750},
publisher = {ELSEVIER SCIENCE BV},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Potts model with q=3 and 4 states on directed small-world network},
tppubtype = {article},
volume = 184,
year = 2013
}