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In this work, the relaxation process of the spin-3/2 Blume-Capel model withquenched random crystal field on a two dimensional square lattice has beeninvestigated by a method which combines the statistical equilibrium theory andthe thermodynamic of linear irreversible processes. Generalized force and fluxhave been defined in irreversible thermodynamics limit. The kinetic equationfor the magnetization has been obtained by using linear response theory. Inorder to understand effect of the first-order phase transition on therelaxation process, low temperature regions have been analyzed. And also,dependence on the temperature and random crystal field of the relaxationprocess has been investigated near the second-order and isolated critical phasetransition points. Moreover, evidence of the reentrant behavior has beenobserved on the relaxation process. Finally, critical exponents of therelaxation time and magnetization have been found by benefiting from log-logplot.

Effects of the quenched random crystal field on the non-equilibrium relaxation process of the spin-3/2 Blume-Capel model