THE SIMULATION OF 2D SPIN-1 ISING MODEL WITH POSITIVE BIQUADRATIC INTERACTION ON A CELLULAR AUTOMATON

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

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 10, 1305-1320

Abstract: The two-dimensional antiferromagnetic spin-1 Ising model with positive biquadratic interaction is simulated on a cellular automaton which based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transition of the model are presented for a comparison with those obtained from other calculations. We confirm the existence of the intermediate phase observed in previous works for some values ofJ/KandD/K. The values of the static critical exponents (β, γ and ν) are estimated within the framework of the finite-size scaling theory forD/K

Keywords: Spin-1 Ising model; Creutz cellular automaton; finite size scaling; universality (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005443

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