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EFFECT OF THE NUMBER OF ENERGY LEVELS OF A DEMON FOR THE SIMULATION OF THE FOUR DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON    
Yazarlar
Ziya Merdan
Gazi Üniversitesi, Türkiye
Abdullah Günen
Gazi Üniversitesi, Türkiye
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK
Ahi Evran Üniversitesi, Türkiye
Özet
The four-dimensional Ising model is simulated on the Creutz cellular automaton by using three- and four-bit demons. The simulations result in overlapping curves for both the order parameter, the magnetic susceptibility, the internal energy and the Binder cumulant. However, the specific heat curves overlap above and at Tc as the number of energy levels of a demon or the number of bits increases, but below Tc they are strongly violated. The critical exponents for the order parameter and the magnetic susceptibility as the number of bits increases are obtained by analyzing the data according to the finite-size scaling relations available. © World Scientific Publishing Company.
Anahtar Kelimeler
Cellular automata | Critical exponents | Ising models
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı International Journal of Modern Physics C
Dergi ISSN 0129-1831
Dergi Tarandığı Indeksler SSCI
Makale Dili İngilizce
Basım Tarihi 08-2005
Cilt No 16
Sayı 8
Sayfalar 1269 / 1278
Doi Numarası 10.1142/S012918310500787X
Makale Linki http://www.worldscientific.com/doi/abs/10.1142/S012918310500787X