THE EFFECT OF THE INCREASE OF LINEAR DIMENSIONS ON EXPONENTS OBTAINED BY FINITE SIZE SCALING RELATIONS FOR THE FOUR DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON
Yazarlar (4)
Dr. Öğr. Üyesi Ganimet MÜLAZIMOĞLU KIZILIRMAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Modern Physics Letters B | ||
| Dergi ISSN | 0217-9849 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SSCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2008 |
| Cilt / Sayı / Sayfa | 22 / 13 / 1329–1341 | DOI | 10.1142/S0217984908015322 |
| Makale Linki | http://www.worldscientific.com/doi/abs/10.1142/S0217984908015322 | ||
| Özet |
| The four-dimensional Ising model is simulated on the Creutz cellular automaton using finite-size lattices with linear dimension 4 ≤ L ≤ 22. The exponents in the finite-size scaling relations for the order parameter, the magnetic susceptibility at the finite-lattice critical temperature and the specific heat at the infinite-lattice critical temperature are computed to be β = 0.5072(58), γ = 1.0287(56) and α = -0.096(17), respectively, which are consistent with the renormalization group prediction of β = 0.5, γ = 1 and α = 0. The critical temperatures for the infinite lattice are found to be Tcχ=6.6824(5) and TcC=6:6736(27), which are also consistent with the precise results. © 2008 World Scientific Publishing Company. |
| Anahtar Kelimeler |
| Cellular automata | Critical exponents | Finite-size scaling | Ising models |
Science Direct
THE EFFECT OF THE INCREASE OF LINEAR DIMENSIONS ON EXPONENTS OBTAINED BY FINITE SIZE SCALING RELATIONS FOR THE FOUR DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 8 |
| Google Scholar | 7 |