Finite-size scaling analysis of a three-dimensional Blume-Capel model in the presence of external magnetic field


Demirel H., Ozkan A., Kutlu B.

CHINESE PHYSICS LETTERS, vol.25, no.7, pp.2599-2602, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.1088/0256-307x/25/7/073
  • Title of Journal : CHINESE PHYSICS LETTERS
  • Page Numbers: pp.2599-2602

Abstract

The Blume-Capel model in the presence of external magnetic field H has been simulated using a cellular automaton algorithm improved from the Creutz cellular automaton in three-dimension lattice. The field critical exponent delta is estimated using the power law relations and the finite size scaling functions for the magnetization and the susceptibility in the range -0.1 <= h = H/J <= 0. The estimated value of the field critical exponent delta is in good agreement with the universal value (delta = 5) in three dimensions. The simulations are carried out on a simple cubic lattice under periodic boundary conditions.