Finite-Size Scaling Analysis of a Three-Dimensional Blume--Capel Model in the Presence of External Magnetic Field
H. Demirel1, A.Ozkan1, B. Kutlu2
1Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Fizik Anabilim Dali, Ankara, Turkey2Gazi Üniversitesi, Fen -Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
Finite-Size Scaling Analysis of a Three-Dimensional Blume--Capel Model in the Presence of External Magnetic Field
H. Demirel1, A.Ozkan1, B. Kutlu2
1Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Fizik Anabilim Dali, Ankara, Turkey2Gazi Üniversitesi, Fen -Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
摘要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 δ 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 δ is in good agreement with the universal value (δ =5) in three dimensions. The simulations are carried out on a simple cubic lattice under periodic boundary conditions.
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 δ 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 δ is in good agreement with the universal value (δ =5) in three dimensions. The simulations are carried out on a simple cubic lattice under periodic boundary conditions.
H. Demirel;A.Ozkan;B. Kutlu. Finite-Size Scaling Analysis of a Three-Dimensional Blume--Capel Model in the Presence of External Magnetic Field[J]. 中国物理快报, 2008, 25(7): 2599-2602.
H. Demirel, A.Ozkan, B. Kutlu. Finite-Size Scaling Analysis of a Three-Dimensional Blume--Capel Model in the Presence of External Magnetic Field. Chin. Phys. Lett., 2008, 25(7): 2599-2602.
2008, Vol. 25 
