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

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.