Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/5625
Title: The test of the finite-size scaling relations for the five-dimensional ising model on the creutz cellular automaton
Authors: Aktekin, Nevzat
Erkoç, Şakir
Kalay, Mestan
Keywords: Cellular Automata
Critical Exponents
Ising Models
Publisher: World Scientific Publishing Co. Pte Ltd
Abstract: The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4 ? L ? 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 ? L ? 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 ? L ? 16 which is also in very good agreement with the recent precise results.
URI: https://hdl.handle.net/11499/5625
https://doi.org/10.1142/S0129183199001005
ISSN: 0129-1831
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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