The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field

Автор(и)

  • Ziya Merdan Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey
  • Cihan Kürkçü Faculty of Arts and Sciences, Department of Physics, Ahi Evran University, Kirsehir, Turk
  • Mustafa K. Öztürk Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey

DOI:

https://doi.org/10.1063/1.4902227%20

Ключові слова:

Ising model, finite-size scaling, cellular automaton, external magnetic field.

Анотація

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, Tcc (∞) = 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 (d = 3.0136(3)) is in good agreement with d = 3 which is obtained from scaling law of Widom. In spite of the finite-size scaling relations of |ML(t)| and cL(t) for 0 ≤ h ≤ 0.001 are verified; however, in the cases of 0.0025 ≤ h ≤ 0.1 they are not verified.

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Опубліковано

2014-10-20

Як цитувати

(1)
Merdan, Z.; Kürkçü, C.; Öztürk, M. K. The Finite-Size Scaling Study of Four-Dimensional Ising Model in the Presence of External Magnetic Field. Fiz. Nizk. Temp. 2014, 40, 1360-1365.

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Низькотемпературний магнетизм