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Determination of critical linear lattice size for the four dimensional Ising model on the Creutz cellular automaton   
Yazarlar
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
The four-dimensional Ising model is simulated on the Creutz cellular automaton (CCA) near the infinite-lattice critical temperature for the lattice with the linear dimension 4 a (c) 1/2 L a (c) 1/2 22. The temperature dependence of Binder parameter (g (L)) are analyzed for the lattice with the linear dimension 4 a (c) 1/2 L a (c) 1/2 22. In this study conducted highly detailed, two different types of behavior were determined as a result of varying linear lattice dimension. The infinite lattice critical temperatures are obtained to be T (c) = 6.6845 +/- 0.0005 in interval 4 a (c) 1/2 L a (c) 1/2 12 and T (c) = 6.6807 +/- 0.0024 in interval 14 a (c) 1/2 L a (c) 1/2 22. The finite and infinite lattice critical exponents for the order parameter, the magnetic susceptibility and the specific heat are computed from the results of simulations by using finite-size scaling relations. Critical linear lattice size have been identified as L = 14.
Anahtar Kelimeler
Ising model | cellular automaton | Binder parameter | finite-size scaling relations | magnetic phase transition
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Russian Journal of Physical Chemistry A
Dergi ISSN 0036-0244
Dergi Tarandığı Indeksler SSCI
Makale Dili İngilizce
Basım Tarihi 12-2015
Cilt No 89
Sayı 13
Sayfalar 2426 / 2431
Doi Numarası 10.1134/S0036024415130221
Makale Linki http://link.springer.com/10.1134/S0036024415130221