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The phase transition of a random mixed-bond Ising ferromagnet on a cubiclattice model is studied both numerically and analytically. In this work, weuse the Cluster algorithms of Wolff and Glauber to simulate the dynamics of thesystem. We obtained the thermodynamic quantities such as magnetization,susceptibility, and specific heat. Our results were compared with thoseobtained using a new technique in effective field theory that employs similarprobability distribution within the framework of two-site clusters

Phase Diagram of mixed bond Ising systems by use of Monte Carlo and the effective-field theory