scholarly journals Phase diagram and critical behavior of the spin-1 Baxter-Wu model with a crystal field

2004 ◽  
Vol 69 (10) ◽  
Author(s):  
M. L. M. Costa ◽  
J. C. Xavier ◽  
J. A. Plascak
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.


1992 ◽  
Vol 07 (33) ◽  
pp. 3081-3100 ◽  
Author(s):  
G.P. KORCHEMSKY

The critical behavior of the D=0 matrix model with the potential perturbed by a nonlocal term generating touchings between random surfaces is studied. It is found that the phase diagram of the model has many features of the phase diagram of discretized Polyakov’s bosonic string with higher order curvature terms included. It contains the phase of smooth (Liouville) surfaces, the intermediate phase and the phase of branched polymers. The perturbation becomes irrelevant at the first phase and dominates at the third one.


2019 ◽  
Vol 99 (5) ◽  
Author(s):  
D. I. Gorbunov ◽  
I. Ishii ◽  
T. Nomura ◽  
M. S. Henriques ◽  
A. V. Andreev ◽  
...  

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
C. I. N. Sampaio-Filho ◽  
F. G. B. Moreira

2012 ◽  
Vol 324 (23) ◽  
pp. 4034-4042 ◽  
Author(s):  
Li-Mei Liu ◽  
Wei Jiang ◽  
Zan Wang ◽  
Hong-Yu Guan ◽  
An-Bang Guo

1999 ◽  
Vol 272 (1-2) ◽  
pp. 144-152 ◽  
Author(s):  
N.Cherkaoui Eddeqaqi ◽  
M Saber ◽  
A El-Atri ◽  
M Kerouad

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