Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/4067
Title: The finite-size scaling study of the specific heat and the binder parameter for the five-dimensional ising model
Authors: Kalay, Mestan.
Merdan, Z.
Keywords: Cellular automaton
Finite-size scaling
Ising models
Abstract: The five-dimensional Ising model with nearest-neighbor pair interactions is simulated on the Creutz cellular automaton by using finite-size lattices with the linear dimensions L = 4, 6, 8, 10, 12, 14, and 16. The temperature variations and the finite-size scaling plots of the specific heat and Binder parameter verify the theoretically-predicted expression near the infinite-lattice critical temperature. The approximate values for the critical temperature of the infinite-lattice, TC = 8.8063, TC = 8.7825 and TC = 8.7572, are obtained from the intersection points of specific heat curves, Binder parameter curves and the straight line fit of specific heat maxima, respectively. These results are in agreement with the more precise value of TC = 8.7787. The value obtained for the critical exponent of the specific heat, i.e. ? = 0.009, is also in agreement with ? = 0 predicted by the theory. © World Scientific Publishing Company.
URI: https://hdl.handle.net/11499/4067
https://doi.org/10.1142/S0217984907014279
ISSN: 0217-9849
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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