Finite size effect for the first-order phase transition of the three-dimensional Blume-Capel model on a cellular automaton

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Seferoglu N., Ozkan A., Kutlu B.

CHINESE PHYSICS LETTERS, cilt.23, sa.9, ss.2526-2529, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 9
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0256-307x/23/9/049
  • Dergi Adı: CHINESE PHYSICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2526-2529
  • Gazi Üniversitesi Adresli: Evet

Özet

The first-order phase transition of the three-dimensional Blume-Capel model is investigated using the cooling algorithm which is improved from Creutz Cellular Automation at D/J = 2.9, i.e. a ratio of single-ion anistrophy constant to bilinear interaction energy. We test the efficiency of the algorithm and obtain the finite-size effects at the first-order phase transition point. The transition temperature is estimated using the probability distributions of the order parameter and the energy. The analysis of data at the transition point indicates that the magnetic susceptiblity and the specific heat maxima increase with the system value (L-d).