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 (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Low Temperature Physics (Q4)
Dergi ISSN 1063-777X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2014
Cilt / Sayı / Sayfa 40 / 12 / 1058–1062 DOI 10.1063/1.4902227
Makale Linki http://aip.scitation.org/doi/10.1063/1.4902227
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.
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