Critical behavior of SIS model on two-dimensional quasiperiodic tilings

2018 ◽  
Vol 510 ◽  
pp. 577-586 ◽  
Author(s):  
M.P.S. Mota ◽  
G.A. Alves ◽  
A. Macedo-Filho ◽  
T.F.A. Alves
2020 ◽  
Vol 101 (21) ◽  
Author(s):  
Luo-Zhao Zhang ◽  
An-Lei Zhang ◽  
Xiu-De He ◽  
Xin-Wei Ben ◽  
Qi-Ling Xiao ◽  
...  

2004 ◽  
Vol 15 (10) ◽  
pp. 1425-1438 ◽  
Author(s):  
A. SOLAK ◽  
B. KUTLU

The two-dimensional BEG model with nearest neighbor bilinear and positive biquadratic interaction is simulated on a cellular automaton, which is based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transitions of the model are presented for comparison with those obtained from other calculations. We confirm the existence of the tricritical points over the phase boundary for D/K>0. The values of static critical exponents (α, β, γ and ν) are estimated within the framework of the finite size scaling theory along D/K=-1 and 1 lines. The results are compatible with the universal Ising critical behavior except the points over phase boundary.


2012 ◽  
Vol 112 (6) ◽  
pp. 063924 ◽  
Author(s):  
Raymond P. H. Wu ◽  
Veng-cheong Lo ◽  
Haitao Huang

1997 ◽  
Vol 89 (5-6) ◽  
pp. 1079-1085 ◽  
Author(s):  
W. Selke ◽  
F. Szalma ◽  
P. Lajkó ◽  
F. Iglói

2018 ◽  
Vol 112 (7) ◽  
pp. 072405 ◽  
Author(s):  
G. T. Lin ◽  
X. Luo ◽  
F. C. Chen ◽  
J. Yan ◽  
J. J. Gao ◽  
...  

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