The test of the finite-size scaling relations for the five-dimensional Ising model on the Creutz cellular automaton


Aktekin N., Erkoc S., Kalay M.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.10, sa.7, ss.1237-1245, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Konu: 7
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1142/s0129183199001005
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Sayfa Sayıları: ss.1237-1245

Özet

The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4 less than or equal to L less than or equal to 16. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical temperature are computed to be 2.52(7) and 1.25(11) using 6 less than or equal to L less than or equal to 12, respectively, which are in very good agreement with the Monte Carlo results and with the theoretical predictions of 5/2 and 5/4. The critical temperature for the infinite lattice is found to be 8.779(8) using 8 less than or equal to L less than or equal to 16 which is also in very good agreement with the recent precise results.