Application of the genetic algorithm to Blume-Emery-Griffiths model: Test cases

Canko O., Şahin M., Erdinc A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.19, sa.28, ss.4229-4237, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 28
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1142/s0217979205032723
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4229-4237
  • Erciyes Üniversitesi Adresli: Evet

Özet

The equilibrium properties of the Blume-Emery-Griffiths (BEG) model Hamiltonian with the arbitrary bilinear (J), biquadratic (K) and crystal field interaction (D) are studied using the genetic algorithm technique. Results are compared with lowest approximation of the cluster variation method (CVM), which is identical to the mean field approximation. We found the genetic algorithm to be very efficient for fast search at the average fraction of the spins, especially in the early stages as the system is far from the equilibrium state. A combination of the genetic algorithm followed by one of the well-tested simulation techniques seems to be an optimal approach. The curvature of the inverse magnetic susceptibility is also presented for the stable state of the BEG model.