THE TRICRITICAL BEHAVIOR OF THE 3D BLUME–CAPEL MODEL ON A CELLULAR AUTOMATON

B. Kutlu (), A. Özkan, N. Seferoğlu, A. Solak and B. Binal
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B. Kutlu: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
A. Özkan: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
N. Seferoğlu: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
A. Solak: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey
B. Binal: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 06, 933-950

Abstract: The three-dimensional BC model is simulated on a cellular automaton which improved from the Creutz cellular automaton for simple cubic lattice. The phase diagram characterizing phase transition of the model is obtained for a comparison with those obtained from other calculations. The simulations confirm the existence of a tricritical point at which the phase transition changes from second-order to first-order atD/J =2.82. For the determined of the tricritical point, the thermodynamics quantities are computed using two different procedures which is called as the standard and the cooling algorithm for the anisotropy parameter values in the interval3≥D/J≥-8. The simulations indicates that the cooling algorithm is a suitable procedure for the calculations near the first-order phase transition region, and the cooling rate is an important parameter in the determining of the phase boundary. The estimated critical temperatures forD/J =0and 2.82 are compatible with the series expansion results.

Keywords: Spin-1 Ising (BC) model; Creutz cellular automaton; finite size scaling; phase diagram; simple cubic lattice (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007601

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