The test of the finite size scaling relations of the Ising models in seven and eight dimensions on the Creutz cellular automaton
Yazarlar (5)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Physica A Statistical Mechanics and Its Applications | ||
| Dergi ISSN | 0378-4371 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SSCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2006 |
| Cilt / Sayı / Sayfa | 366 / 1 / 265–272 | DOI | 10.1016/j.physa.2005.10.035 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0378437105011325 | ||
| Özet |
| The Ising models in seven and eight dimensions are simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4 {less-than or slanted equal to} L {less-than or slanted equal to} 8. Three different finite-size exponents for the order parameter near the curie point are computed to be 1.74 (3), 0.95 (2), 2.42 (5), 1.99 (19), 0.96 (1) and 2.95 (11) for d = 7 and d = 8 dimensions, respectively. The obtained results are in good agreement with the theoretical predictions, frac(7, 4), 1, frac(5, 2), 2, 1, 3 for d = 7 and 8 dimensions, respectively. The exponent in the finite-size scaling relation for the magnetic suscebtibility at the infinite-lattice critical temperature is computed to be 4.03 (9) using 4 {less-than or slanted equal to} L {less-than or slanted equal to} 8, which is in very good agreement with the theoretical prediction of 4 for d = 8 dimension. The finite-size scaling relation for the magnetic susceptibility at the infinite-lattice critical temperature is also valid for the maxima of the magnetic susceptibilities of the finite-size lattices. The finite-size scaling plots of the order parameter and the magnetic susceptibility verify the finite-size scaling relations about the infinite-lattice critical temperature. © 2005 Elsevier B.V. All rights reserved. |
| Anahtar Kelimeler |
| Cellular automaton | Critical exponents | Ising models |
Science Direct
The test of the finite size scaling relations of the Ising models in seven and eight dimensions on the Creutz cellular automaton
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 19 |
| SCOPUS | 23 |
| Google Scholar | 27 |