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THE EFFECT OF THE INCREASE OF LINEAR DIMENSIONS ON EXPONENTS OBTAINED BY FINITE SIZE SCALING RELATIONS FOR THE FOUR DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON    
Yazarlar
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK
Ahi Evran Üniversitesi, Türkiye
Ayşe Duran
Dumlupınar Üniversitesi, Türkiye
Ziya Merdan
Gazi Üniversitesi, Türkiye
Abdullah Günen
Gazi Üniversitesi, Türkiye
Özet
The four-dimensional Ising model is simulated on the Creutz cellular automaton using finite-size lattices with linear dimension 4 ≤ L ≤ 22. The exponents in the finite-size scaling relations for the order parameter, the magnetic susceptibility at the finite-lattice critical temperature and the specific heat at the infinite-lattice critical temperature are computed to be β = 0.5072(58), γ = 1.0287(56) and α = -0.096(17), respectively, which are consistent with the renormalization group prediction of β = 0.5, γ = 1 and α = 0. The critical temperatures for the infinite lattice are found to be Tcχ=6.6824(5) and TcC=6:6736(27), which are also consistent with the precise results. © 2008 World Scientific Publishing Company.
Anahtar Kelimeler
Cellular automata | Critical exponents | Finite-size scaling | Ising models
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Modern Physics Letters B
Dergi ISSN 0217-9849
Dergi Tarandığı Indeksler SSCI
Makale Dili İngilizce
Basım Tarihi 05-2008
Cilt No 22
Sayı 13
Sayfalar 1329 / 1341
Doi Numarası 10.1142/S0217984908015322
Makale Linki http://www.worldscientific.com/doi/abs/10.1142/S0217984908015322