THE SIMULATION OF THE 2D FERROMAGNETIC BLUME–CAPEL MODEL ON A CELLULAR AUTOMATON

B. Kutlu ()
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B. Kutlu: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 09, 1401-1413

Abstract: The two-dimensional ferromagnetic Blume–Capel model is simulated on a cellular automaton, which based on the Creutz cellular automaton for square lattice. The values of the critical temperature and the static critical exponents are estimated within the framework of the finite-size scaling theory for0 ≤ D/J ≤ 1.5. The results are compatible with the universal Ising critical behavior.

Keywords: Blume–Capel model; cellular automaton; finite-size scaling (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002747

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