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

Abstract

Abstract 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 = 1 in equilibrium case, a new dynamical regions between the ferromagnetic phases F 1 / 2 , F 1 and F 3 / 2 are found where F 3 / 2 + F 1 / 2 , F 3 / 2 + F 1 , F 1 + F 1 / 2 phases coexist for a weak value of the reduced magnetic field ( h ). Whereas for higher value of h both solutions ordered F and disordered P 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.