Finite-Size Scaling Analysis of a Three-Dimensional Blume-Capel Model in the Presence of External Magnetic Field  

Finite-Size Scaling Analysis of a Three-Dimensional Blume-Capel Model in the Presence of External Magnetic Field

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作  者:H. Demirel A. Ozkan B. Kutlu 

机构地区:[1]Gazi Universitesi, Fen Bilimleri Enstitiisfi, Fizik Anabilim Dah, Ankara, Turkey [2]Gazi Universitesi, Fen -Edebiyat Fakültesi, Fizik Boelümü, 06500 Teknikokullar, Ankara, Turkey

出  处:《Chinese Physics Letters》2008年第7期2599-2602,共4页中国物理快报(英文版)

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 5 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 5 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.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 5 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 5 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.

关 键 词:2-DIMENSIONAL ISING-MODEL CREUTZ CELLULAR-AUTOMATON EMERY-GRIFFITHS MODEL TRICRITICAL BEHAVIOR MONTE-CARLO CRITICAL EXPONENTS PHASE-TRANSITIONS O(4) MODEL SIMULATION ANISOTROPY 

分 类 号:O44[理学—电磁学]

 

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