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

N Aktekin and Ş Erkoç

Physica A: Statistical Mechanics and its Applications, 2001, vol. 290, issue 1, 123-130

Abstract: The seven-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4⩽L⩽8. 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 3.52(8) and 1.72(7) using 4⩽L⩽8, respectively, which are in very good agreement with the theoretical predictions of 7/2 and 7/4. The finite-size scaling relation for the magnetic susceptibility at the infinite-lattice critical temperature is also valid for the maxima of the magnetic susceptibilities of the finite-size lattices. The finite-size scaling plots of the magnetic susceptibility and the order parameter verify the finite-size scaling relations about the infinite-lattice critical temperature.

Keywords: Ising models; Cellular automata; Critical exponents (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:290:y:2001:i:1:p:123-130

DOI: 10.1016/S0378-4371(00)00358-7

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