Dynamical finite-size scaling function of the four dimensional ising model for Creutz algorithm

Z. Merdan, A. Gunen and Ş. Çavdar

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 415-422

Abstract: Dynamical critical exponents for the four dimensional Ising model are computed on a cellular automaton from the relaxations of the time displaced correlation for the order parameter and the internal energy at the critical temperatures. The analysis of the data within the frame of the dynamical finite-size scaling hypothesis gives the linear dynamical critical exponents for the order parameter and the internal energy. In our calculation, the linear dynamical critical exponents are found zM=zHI=2.04 at Tc(∞),zM=1.99,zHI=2.00 at Tcχ(L). The values of zM=zHI=2.04 obtained for Tc(∞) verify the dynamical finite-size scaling, for which it was adopted four dimensional Ising model.

Keywords: Ising model; Dynamical finite-size scaling; Dynamical critical exponent (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:415-422

DOI: 10.1016/j.physa.2005.04.028

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