Abstract
The effect of the double Gaussian random magnetic field distribution on the binary alloy which represented by the formula AcB1−c has been investigated within the framework of effective field theory. By examining the behavior of the order parameter, the evolution of the critical phase boundaries has been obtained under given concentration and randomness. It has been observed that the binary Ising model under the effect of double Gaussian random field distribution could display first and second order transitions. On the other hand, double hysteresis behavior is observed for a specific set of Hamiltonian parameters. The transition between different hysteresis regimes with the level of the randomness has been determined. Besides, the quantities of hysteresis characteristics such as hysteresis loop area, remanent magnetization and coercive field, have been investigated.
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