THE TEST OF THE FINITE-SIZE SCALING RELATIONS FOR THE FIVE-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

N. Aktekin (), Ş. Erkoç () and M. Kalay
Additional contact information
N. Aktekin: Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, Teknikokullar, 06500 Ankara, Turkey
Ş. Erkoç: Ortadoğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06531 Ankara, Turkey
M. Kalay: Pamukkale Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, Denizli, Turkey

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 07, 1237-1245

Abstract: The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension4≤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) using6≤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) using8≤L≤16which is also in very good agreement with the recent precise results.

Keywords: Ising models; Cellular automata; Critical exponents (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183199001005
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:10:y:1999:i:07:n:s0129183199001005

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183199001005

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().