The simulation of the two-dimensional Ising model in the presence of an external magnetic field on the Creutz cellular automaton

Citation
B. Kutlu et al., The simulation of the two-dimensional Ising model in the presence of an external magnetic field on the Creutz cellular automaton, INT J MOD C, 11(3), 2000, pp. 561-572
Citations number
14
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
11
Issue
3
Year of publication
2000
Pages
561 - 572
Database
ISI
SICI code
0129-1831(200005)11:3<561:TSOTTI>2.0.ZU;2-R
Abstract
The two-dimensional Ising model in a small external magnetic field, is simu lated on the Creutz cellular automaton. The values of the static critical e xponents for 0.0025 less than or equal to h less than or equal to 0.025 are estimated within the framework of the finite size scaling theory. The valu e of the field critical exponent is in a good agreement with its theoretica l value of delta = 15. The results for 0.0025 less than or equal to h less than or equal to 0.025 are compatible with Ising critical behavior for T < T-c.