| Yazarlar |
Ziya Merdan
Gazi Üniversitesi, Turkey |
|
Cihan Kürkçü
Kırşehir Ahi Evran Üniversitesi, Turkey |
|
Mustafa K. Öztürk
Gazi Üniversitesi, Turkey |
| Özet |
| The four-dimensional ferromagnetic Ising model in external magnetic field is simulated on the Creutz cellular automaton algorithm using finite-size lattices with linear dimension 4 ≤ L ≤ 8. The critical temperature value of infinite lattice, (Formula presented.)(∞)= 6.680(1) obtained for h = 0 agrees well with the values Tc(∞) ≈ 6.68 obtained previously using different methods. Moreover, h = 0.00025 in our work also agrees with all the results obtained from h = 0 in the literature. However, there are no works for h ≠ 0 in the literature. The value of the field critical exponent (δ = 3.0136(3)) is in good agreement with δ = 3 which is obtained from scaling law of Widom. In spite of the finite-size scaling relations of |ML(t)| and XL(t) for 0 ≤ h ≤ 0.001 are verified; however, in the cases of 0.0025 ≤ h ≤ 0.1 they are not verified. |
| Anahtar Kelimeler |
| Cellular automaton | External magnetic field | Finite-size scaling | Ising model |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Fizika Nizkikh Temperatur |
| Dergi ISSN | 0132-6414 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2014 |
| Cilt No | 40 |
| Sayı | 12 |
| Sayfalar | 1360 / 1365 |
