scholarly journals Antiferromagnetic spin‐1 Ising model. II. Interface structure and kinetic phase transition

1981 ◽  
Vol 74 (1) ◽  
pp. 721-727 ◽  
Author(s):  
Y. Saito ◽  
H. Müller‐Krumbhaar
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Interface Structure ◽  
Antiferromagnetic Spin ◽  
Kinetic Phase Transition

THE SIMULATION OF 2D SPIN-1 ISING MODEL WITH POSITIVE BIQUADRATIC INTERACTION ON A CELLULAR AUTOMATON

2003 ◽  
Vol 14 (10) ◽  
pp. 1305-1320 ◽  
Author(s):  
BÜLENT KUTLU
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Cellular Automaton ◽  
Intermediate Phase ◽  
Finite Size ◽  
Square Lattice ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Creutz Cellular Automaton ◽  
Antiferromagnetic Spin

The two-dimensional antiferromagnetic spin-1 Ising model with positive biquadratic interaction is simulated on a cellular automaton which based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transition of the model are presented for a comparison with those obtained from other calculations. We confirm the existence of the intermediate phase observed in previous works for some values of J/K and D/K. The values of the static critical exponents (β, γ and ν) are estimated within the framework of the finite-size scaling theory for D/K<2J/K. Although the results are compatible with the universal Ising critical behavior in the region of D/K<2J/K-4, the model does not exhibit any universal behavior in the interval 2J/K-4<D/K<2J/K.

Kinetic phase transition in the semi-infinite Ising model under an oscillating field

2014 ◽  
Vol 410 ◽  
pp. 370-379 ◽  
Author(s):  
A.G. El Hachimi ◽  
M. El Yadari ◽  
A. Benyoussef ◽  
A. El Kenz ◽  
L. Bahmad
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Kinetic Phase Transition

Kinetic Phase Transition in the Semi-infinite Spin-1 Ising Model Under a Periodically Oscillating Magnetic Field

2017 ◽  
Vol 31 (3) ◽  
pp. 805-814 ◽  
Author(s):  
S. Sidi Ahmed ◽  
A. Nid-bahami ◽  
A. G. El Hachimi ◽  
L. Bahmad ◽  
A. Benyoussef ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Ising Model ◽  
Oscillating Magnetic Field ◽  
Kinetic Phase Transition
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