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EFFECT OF THE NUMBER OF ENERGY LEVELS OF A DEMON FOR THE SIMULATION OF THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON
https://doi.org/10.1142/S012918310500787XCited by:12 (Source: Crossref)
Abstract
The four-dimensional Ising model is simulated on the Creutz cellular automaton by using three- and four-bit demons. The simulations result in overlapping curves for both the order parameter, the magnetic susceptibility, the internal energy and the Binder cumulant. However, the specific heat curves overlap above and at Tc as the number of energy levels of a demon or the number of bits increases, but below Tc they are strongly violated. The critical exponents for the order parameter and the magnetic susceptibility as the number of bits increases are obtained by analyzing the data according to the finite-size scaling relations available.
PACS: 05.45, 75.10H, 75.40C
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