The Test of a New Critical Exponent (sic) by Using Ising Model on the Creutz Cellular Automaton


MERDAN Z., Gokbel-Keklikoglu D.

ACTA PHYSICA POLONICA A, vol.133, no.5, pp.1200-1204, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 133 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.12693/aphyspola.133.1200
  • Journal Name: ACTA PHYSICA POLONICA A
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1200-1204

Abstract

Above the upper critical dimension d(c) the Ising model is simulated on the Creutz cellular automaton. The values of a new critical exponent (sic) are obtained by using the simulations for the order parameter and the magnetic susceptibility. At d = 4; 5; 6; 7; 8, the values of the new critical exponent (sic) are 0.9904(16), 1.2721(2), 1.4806(24), 1.7626(17), 1.9997(50) for the order parameter, respectively, while those 1.0415(13), 1.2987(27), 1.5133(1), 1.7741(1), 2.0133(28) are for the magnetic susceptibility in the same order. The computed values of the new critical exponent (sic) are in agreement with theoretical values.