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


MERDAN Z. , Karakus O.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.55, sa.11, ss.4822-4829, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Konu: 11
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10773-016-3105-9
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Sayfa Sayıları: ss.4822-4829

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.