The Finite-Size Scaling Relation for the Order-Parameter Probability Distribution of the Six-Dimensional Ising Model

MERDAN, ZİYA; Karakus, Ozlem

doi:10.1007/s10773-016-3105-9

The Finite-Size Scaling Relation for the Order-Parameter Probability Distribution of the Six-Dimensional Ising Model

Atıf İçin Kopyala

MERDAN Z., Karakus O.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.55, sa.11, ss.4822-4829, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 55 Sayı: 11
Basım Tarihi: 2016
Doi Numarası: 10.1007/s10773-016-3105-9
Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.4822-4829
Gazi Üniversitesi Adresli: Evet

Özet

The six dimensional Ising model with nearest-neighbor pair interactions has been simulated and verified numerically on the Creutz Cellular Automaton by using five bit demons near the infinite-lattice critical temperature with the linear dimensions L=4,6,8,10. The order parameter probability distribution for six dimensional Ising model has been calculated at the critical temperature. The constants of the analytical function have been estimated by fitting to probability function obtained numerically at the finite size critical point.