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 |
Show full item record
CORE Recommender
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.