Critical behavior of the two-dimensional Ising model with next-nearest-neighbor antiferromagnetic interaction on the Creutz cellular automaton

✍ Scribed by B. Kutlu

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 408 KB
• Volume: 234
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(96)00309-3

✦ Synopsis

The two-dimensional Ising model with nearest-and next-nearest-neighbor antiferromagnetic interactions of ratio R is simulated on the Creutz cellular automaton. The values of the critical temperature and the critical exponents for 0 ~<R < 5 are estimated within the framework of the finite size scaling theory. The dependence of Tc on R agrees with the crossover scaling theory for ¢ = 7 = 1.75. The results for 0 < R < ½ are compatible with Ising critical behavior.