Exact critical behavior of two-dimensional wetting problems with quenched disorder

1988 ◽  
Vol 51 (1-2) ◽  
pp. 29-56 ◽  
Author(s):  
G. Forgacs ◽  
J. M. Luck ◽  
Th. M. Nieuwenhuizen ◽  
H. Orland



1998 ◽  
Vol 12 (12n13) ◽  
pp. 1301-1309
Author(s):  
G. Jug ◽  
B. N. Shalaev

We study the critical behavior of two-dimensional (2D) anisotropic systems with weak quenched disorder described by the Ising model (IM) with random bonds, the dilute N-color Ashkin–Teller model (ATM) and some its generalizations. It is shown that all these models exhibit the same critical behavior as that of the 2D-IM apart from some logarithmic corrections. The minimal conformal field theory (CFT) models with randomness are found to be described by critical exponents which are numerically very close to those of the pure 2D-IM.





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.





2013 ◽  
Vol 111 (9) ◽  
Author(s):  
Sven Deutschländer ◽  
Tobias Horn ◽  
Hartmut Löwen ◽  
Georg Maret ◽  
Peter Keim


1992 ◽  
Vol 263 (1-3) ◽  
pp. 680-685 ◽  
Author(s):  
Alexander B. Dzyubenko ◽  
Yuri E. Lozovik


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


2002 ◽  
Vol 66 (2) ◽  
Author(s):  
Roberto da Silva ◽  
Nelson A. Alves ◽  
J. R. Drugowich de Felício


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