Determination of critical linear lattice size for the four dimensional Ising model on the Creutz cellular automaton
Yazarlar (1)
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A | ||
| Dergi ISSN | 0036-0244 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SSCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2015 |
| Cilt / Sayı / Sayfa | 89 / 13 / 2426–2431 | DOI | 10.1134/S0036024415130221 |
| Makale Linki | http://link.springer.com/10.1134/S0036024415130221 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları |