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