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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 |
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| Cite this article: |
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H. Demirel, A.Ozkan, B. Kutlu 2008 Chin. Phys. Lett. 25 2599-2602 |
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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.
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64.60.Cn
64.60.De
64.60.Fr
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Received: 05 March 2008
Published: 26 June 2008
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64.60.Cn
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(Order-disorder transformations)
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64.60.De
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(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
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64.60.Fr
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