The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field
|
|
| Creator |
Ziya Merdan
Cihan Kürkçü Mustafa K. Öztürk |
|
| Subject |
Низкотемпеpатуpный магнетизм
|
|
| 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. |
|
| Date |
2017-06-08T05:36:31Z
2017-06-08T05:36:31Z 2014 |
|
| Type |
Article
|
|
| Identifier |
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 |
|
| Language |
en
|
|
| Relation |
Физика низких температур
|
|
| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
|
|