Abstract
The dynamic phase transitions are studied, within a mean-field approach, inthe kinetic Blume–Emery–Griffiths model under the presence of a time varying(sinusoidal) magnetic field by using the Glauber-type stochastic dynamics. Thebehaviour of the time-dependence of the order parameters and the behaviour of theaverage order parameters in a period, which is also called the dynamic orderparameters, as a function of reduced temperature, are investigated. The nature(continuous and discontinuous) of transition is characterized by studying theaverage order parameters in a period. The dynamic phase transition points areobtained and the phase diagrams are presented in the reduced magnetic fieldamplitude and reduced temperature plane. The phase diagrams exhibit one, two, orthree dynamic tricritical points and a dynamic double critical end point, andbesides a disordered and two ordered phases, seven coexistence phase regions exist,which strongly depend on interaction parameters. We also calculate the Liapunovexponent to verify the stability of solutions and the dynamic phase transition points.
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