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A FINITE-SIZE SCALING STUDY OF THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

N. Aktekin (), A. Günen and Z. Sağlam
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N. Aktekin: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü Teknikokullar, 06500 Ankara, Turkey
A. Günen: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü Teknikokullar, 06500 Ankara, Turkey
Z. Sağlam: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü Teknikokullar, 06500 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 05, 875-881

Abstract: The four-dimensional Ising model is simulated on the Creutz cellular automaton with increased precision. The data are analyzed according to the finite-size scaling relations available. The precision of the critical values related to magnetic susceptibility is improved by one digit, but in order to reach to the same precision for those related to the specific heat more simulation runs at the critical temperatures of the finite-size lattices are required.

Keywords: Ising model; Finite-size scaling; Cellular automata; Critical exponents (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S012918319900067X

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