Yazarlar |
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 |