Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field

We extend our recent paper [O. Canko, B. Deviren, M. Keskin, J. Phys.: Condens. Mater 118 (2006) 6635] to present a study, within a mean-field approach, the stationary states of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic interaction under the presence of a time varying (sinusoidal) magnetic field. We found that the dynamic phase diagrams of the present work exhibit more complex, richer and more topological different types of phase diagrams than our recent paper. Especially, the obtained dynamic phase diagrams show the ferrimagnetic ( i ) phase in addition to the ferromagnetic ±3/2 ( f3/2 ), ferromagnetic ±1/2 ( f1/2 ), antiquadrupolar or staggered ( a ) and disordered ( d ) phases, and the f3/2+i, f1/2+d, i+d, f3/2+i+d, a+d and/or f3/2+i+a coexistence regions in addition to the f3/2+f1/2, f3/2+d, f3/2+a, f1/2+d and/or f3/2+a+d coexistence regions, depending on interaction parameters. Moreover, the phase diagrams exhibit dynamic zero-temperature critical, critical end, double critical end, multicritical, and/or pentacritical special points in addition to the dynamic tricritical, double critical end point, triple, quadruple and/or tetracritical special points that depending on the interaction parameters.