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The finite size scaling study of four dimensional Ising model in the presence of external magnetic field       
Yazarlar
Ziya Merdan
Gazi Üniversitesi, Türkiye
Doç. Dr. Cihan KÜRKÇÜ
Ahi Evran Üniversitesi, Türkiye
Mustafakemal Öztürk
Gazi Üniversitesi, Türkiye
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, T-c(chi) (infinity) = 6; 680(1) obtained for h = 0 agrees well with the values T-c(infinity) approximate to 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 not equal 0 in the literature. The value of the field critical exponent (delta = 3.0136(3)) is in good agreement with delta = 3 which is obtained from scaling law of Widom. In spite of the finite-size scaling relations of vertical bar M-L(t)vertical bar and chi(L)(t) for 0 <= h <= 0.001 are verified; however, in the cases of 0.0025 <= h <= 0.1 they are not verified. (C) 2014 AIP Publishing LLC.
Anahtar Kelimeler
Cellular automaton | External magnetic field | Finite-size scaling | Ising model
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Low Temperature Physics
Dergi ISSN 1063-777X
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 12-2014
Cilt No 40
Sayı 12
Sayfalar 1058 / 1062
Doi Numarası 10.1063/1.4902227
Makale Linki http://aip.scitation.org/doi/10.1063/1.4902227
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 2
Google Scholar 3
The finite size scaling study of four dimensional Ising model in the presence of external magnetic field

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