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Akademisyenler > Cihan KÜRKÇÜ > Yayın Detayı

The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field  
Yazarlar (3)
Ziya Merdan
Gazi Üniversitesi, Turkey
Doç. Dr. Cihan KÜRKÇÜ Doç. Dr. Cihan KÜRKÇÜ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Mustafa K. Öztürk
Gazi Üniversitesi, Turkey
Devamını Göster
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 yayınlanan tam makale
Dergi Adı Fizika Nizkikh Temperatur
Dergi ISSN 0132-6414 Scopus Dergi
Makale Dili İngilizce
Basım Tarihi 12-2014
Cilt No 40
Sayı 12
Sayfalar 1360 / 1365
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 2

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