THE SIMULATION OF THE TWO-DIMENSIONAL ISING MODEL IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD ON THE CREUTZ CELLULAR AUTOMATON

B. Kutlu (), M. Kasap and S. Turan
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B. Kutlu: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
M. Kasap: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
S. Turan: Ankara Nükleer Araṣtırma ve Eǧitim Merkezi, 06100 Beṣevler, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 03, 561-572

Abstract: The two-dimensional Ising model in a small external magnetic field, is simulated on the Creutz cellular automaton. The values of the static critical exponents for0.0025 ≤ h ≤ 0.025are estimated within the framework of the finite size scaling theory. The value of the field critical exponent is in a good agreement with its theoretical value ofδ = 15. The results for0.0025 ≤ h ≤ 0.025are compatible with Ising critical behavior forT

Keywords: Ising Model; Creutz Cellular Automaton; External Magnetic Field; Finite Size Scaling (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S012918310000047X

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