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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| Дата: | 2014 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119694 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-119694 |
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dspace |
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irk-123456789-1196942017-06-09T03:03:22Z The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk Низкотемпеpатуpный магнетизм 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. 2014 Article 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. 0132-6414 PACS 05.50.+q, 64.60.Cn, 75.40.Cx, 75.40.Mg http://dspace.nbuv.gov.ua/handle/123456789/119694 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Низкотемпеpатуpный магнетизм Низкотемпеpатуpный магнетизм |
| spellingShingle |
Низкотемпеpатуpный магнетизм Низкотемпеpатуpный магнетизм Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field Физика низких температур |
| description |
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. |
| format |
Article |
| author |
Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk |
| author_facet |
Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk |
| author_sort |
Ziya Merdan |
| title |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field |
| title_short |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field |
| title_full |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field |
| title_fullStr |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field |
| title_full_unstemmed |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field |
| title_sort |
finite-size scaling study of four-dimensional ising model in the presence of external magnetic field |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2014 |
| topic_facet |
Низкотемпеpатуpный магнетизм |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119694 |
| citation_txt |
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. |
| series |
Физика низких температур |
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