The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field
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, Tc χ (∞) = 6.680(1) obtained for h = 0 agrees well with...
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| Date: | 2014 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Series: | Физика низких температур |
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119694 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field / Ziya Merdan, Cihan Kürkçü, Mustafa K. Öztürk // Физика низких температур. — 2014. — Т. 40, № 12. — С. 1360-1365. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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, Tc
χ (∞) = 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 finitesize
scaling relations of |ML(t)| and χ L(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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