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 fo...
Gespeichert in:
| Veröffentlicht in: | Физика низких температур |
|---|---|
| Datum: | 2014 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
|
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/119694 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546732342050816 |
|---|---|
| author | Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk |
| author_facet | Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk |
| 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. |
| collection | DSpace DC |
| container_title | 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.
|
| first_indexed | 2025-11-25T12:22:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-119694 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-25T12:22:30Z |
| publishDate | 2014 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Ziya Merdan Cihan Kürkçü Mustafa K. Öztürk 2017-06-08T05:36:31Z 2017-06-08T05:36:31Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/119694 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкотемпеpатуpный магнетизм The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field Article published earlier |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | Низкотемпеpатуpный магнетизм |
| topic_facet | Низкотемпеpатуpный магнетизм |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/119694 |
| work_keys_str_mv | AT ziyamerdan thefinitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield AT cihankurkcu thefinitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield AT mustafakozturk thefinitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield AT ziyamerdan finitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield AT cihankurkcu finitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield AT mustafakozturk finitesizescalingstudyoffourdimensionalisingmodelinthepresenceofexternalmagneticfield |