Effect of the number of energy levels of a demon for the simulation of the four-dimensional Ising model on the Creutz cellular automaton

MERDAN Z., Gunen A., Mulazimoglu G.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.16, sa.8, ss.1269-1278, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 8
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1142/s012918310500787x
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1269-1278
  • Gazi Üniversitesi Adresli: Hayır

Özet

The four-dimensional Ising model is simulated on the Creutz cellular automaton by using three- and four-bit demons. The simulations result in overlapping curves for both the order parameter, the magnetic susceptibility, the internal energy and the Binder cumulant. However, the specific heat curves overlap above and at T-c as the number of energy levels of a demon or the number of bits increases, but below T-c they axe strongly violated. The critical exponents for the order parameter and the magnetic susceptibility as the number of bits increases are obtained by analyzing the data according to the finite-size scaling relations available.