Random crystal field effect on the kinetic spin-3/2 Blume–Capel model under a time-dependent oscillating field

• Random crystal-field on the kinetic spin-3/2 Blume–Capel model is studied.
• New dynamical mixed phases appear F3/2+F1/2,F3/2+F1F3/2+F1/2,F3/2+F1 and F1+F1/2F1+F1/2.
• The system exhibits isolated end points, multicritical and dynamical tricritical phenomenon.

The effect of random crystal-field on the stationary states of the kinetic spin-3/2 Blume–Capel model is investigated within the framework of the mean-field approach. The Glauber-type stochastic dynamics is used to describe the time evolution of the system which is subject to a time-dependent oscillating external magnetic field. In addition to the well-known phase transitions and the appearance of the partly ferromagnetic phase characterized by the magnetization  m=m= 1 in equilibrium case, a new dynamical regions between the ferromagnetic phases F1/2F1/2, F1F1 and F3/2F3/2 are found where F3/2+F1/2,F3/2+F1, F1+F1/2 phases coexist for a weak value of the reduced magnetic field (hh). Whereas for higher value of hh both solutions ordered FF and disordered PP phases coexist. Hence we present six types topologies of phase diagrams which exhibit dynamical first-order, second-order transition lines, dynamical tricritical and isolated critical end points. Furthermore, the dynamical thermal behavior magnetizations, susceptibilities and phase space trajectories are given and discussed.