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


Kutlu B., Kasap M., Turan S.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.11, no.3, pp.561-572, 2000 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2000
  • Doi Number: 10.1142/s012918310000047x
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.561-572

Abstract

The two-dimensional Ising model in a small external magnetic field, is simulated on the Creutz cellular automaton. The values of the static critical exponents 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 value of the field critical exponent is in a good agreement with its theoretical 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.