The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field
Yazarlar (3)
Ziya Merdan Gazi Üniversitesi, Türkiye
Prof. Dr. Cihan KÜRKÇÜ Kırşehir Ahi Evran Üniversitesi, Türkiye
Mustafa K. Öztürk
Gazi Üniversitesi, Türkiye
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Fizika Nizkikh Temperatur
Dergi ISSN 0132-6414 Dergi Bilgileri (2014)
Dergi Tarandığı Indeksler SCOPUS
Makale Dili İngilizce Basım Tarihi 12-2014
Cilt / Sayı / Sayfa 40 / 12 / 1360–1365 DOI –
UAK Araştırma Alanları
Fen Bilimleri ve Matematik
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Scopus 2

Paylaş

İletişim
  • Kırşehir Ahi Evran Üniversitesi Bağbaşı Yerleşkesi, 40100, KIRŞEHİR \ TÜRKİYE
  • unis@ahievran.edu.tr
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