Phase diagram and critical properties of the asymmetric Mattis model

1993 ◽  
Vol 71 (3-4) ◽  
pp. 759-773 ◽  
Author(s):  
Yukiyasu Ozeki
2006 ◽  
Vol 17 (09) ◽  
pp. 1285-1302 ◽  
Author(s):  
SANTANU SINHA ◽  
S. B. SANTRA

Directed spiral percolation (DSP) is a new percolation model with crossed external bias fields. Since percolation is a model of disorder, the effect of external bias fields on the properties of disordered systems can be studied numerically using DSP. In DSP, the bias fields are an in-plane directional field (E) and a field of rotational nature (B) applied perpendicular to the plane of the lattice. The critical properties of DSP clusters are studied here varying the direction of E field and intensities of both E and B fields in two-dimensions. The system shows interesting and unusual critical behavior at the percolation threshold. Not only the DSP model is found to belong in a new universality class compared to that of other percolation models but also the universality class remains invariant under the variation of E field direction. Varying the intensities of the E and B fields, a crossover from DSP to other percolation models has been studied. A phase diagram of the percolation models is obtained as a function of intensities of the bias fields E and B.


2014 ◽  
Vol 90 (24) ◽  
Author(s):  
Benedikt Bruognolo ◽  
Andreas Weichselbaum ◽  
Cheng Guo ◽  
Jan von Delft ◽  
Imke Schneider ◽  
...  

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Igor Travěnec ◽  
Ladislav Šamaj

1989 ◽  
Vol 162-164 ◽  
pp. 871-872 ◽  
Author(s):  
N.C. Bartelt ◽  
T.L. Einstein ◽  
L.T. Wille

2011 ◽  
Author(s):  
C. A. de Sousa ◽  
P. Costa ◽  
M. C. Ruivo ◽  
H. Hansen

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