Abstract
A Monte Carlo simulation was used to determine the critical temperature of a two-dimensional, ferromagnetic, binary, quenched Ising alloy as a function of the relative species concentration and of the relative interaction energy between unlike ions. Considering the system to be composed of two ionic species, A and B, we used different B-ion concentrations of 0.25, 0.50, and 0.75. For each of these, the four different values of the relative A-B interaction energy studied were ${J}_{\mathrm{AB}}$/${J}_{\mathrm{AA}}$=0, 1, 2, and 4. The value of ${J}_{\mathrm{BB}}$/${J}_{\mathrm{AA}}$ was set equal to 4 for all cases. Improvements over the results obtained from mean-field theory, the Bethe-Peierls approximation, and the ``effective-field'' model of Honmura et al. are discussed.
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