Dynamic phase transitions and dynamic phase diagrams in the kinetic mixed spin-1 and spin-2 Ising system in an oscillating magnetic field

Abstract

We study the nonequilibrium aspects of the kinetics of a mixed spin-1 and spin-2 Ising system including the biquadratic nearest-neighbor pair interaction (K) and crystal-field interaction (D) under the presence of a time-dependent oscillating external magnetic field within a mean-field approach. In particular, we calculate the dynamic phase transition (DPT) temperatures and present dynamic phase diagrams. The set of mean-field dynamic equations is obtained by employing Glauber transition rates. We investigate the time variations of average order parameters to find the phases in the system. We also study the thermal behavior of the dynamic order parameters to characterize the nature (continuous or discontinuous) of the phase transitions and obtain the DPT points. The dynamic phase diagrams are presented in three different planes. Phase diagrams contain disordered (d), ferrimagnetic (i), antiquadrupolar or staggered (a) phases, and four coexistence or mixed phase regions, namely i + d, i + a, i + a + d and a + d mixed phases, that strongly depend on interaction parameters.

Multicritical Dynamic Phase Diagrams and Dynamic Hysteresis Loops in a Mixed Spin-2 and Spin-5/2 Ising Ferrimagnetic System with Repulsive Biquadratic Coupling: Glauber Dynamic Approach

“…It is worthwhile mentioning that the DPT presents new challenges and there is a strong motivation for analyzing it; hence the DPT has attracted much attention in recent years, theoretically (see [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] and references therein) and experimentally (see [45][46][47][48][49][50][51][52] and references therein). An early attempt to study the DPT at the mean-field level was conducted by Tomé and de Oliveira [26,27].…”

“…[30]. Recent studies on the DPT have been widely extended to include more complex systems, such as the two-dimensional fully frustrated Josephson junction [31], thin films [32], the XY model in one dimension [33], kinetic high-spin Ising models ( [34][35][36] and references therein) and kinetic mixed spin Ising systems ( [16,[37][38][39][40][41][42] and references therein). A further simulation study of the DPT in the two-dimensional kinetic spin-1/2…”

The dynamic magnetic behaviors of the Blume–Capel Ising bilayer system

“…On the other hand, the dynamic phase diagrams in Figs. 4(c)-(e), 5(c)-(e), 6(a)-(c) are only observed in the BCIB system; hence they were not obtained by previous studies of the kinetic Ising (see [31,32,48] and references therein).…”

“…The dynamic phase diagrams of the BCIB system with the case of AFM/FM interactions for J 1 = -1.0, [31,32,48] and references therein). On the other hand, the dynamic phase diagrams in Figs.…”

Hysteresis and Compensation Behaviors of Mixed Spin-1 and Spin-2 Hexagonal Ising Nanowire System

“…(see [4][5][6][7][8][9][10][11][12][13] and references therein). Up until now, few people have ever touched upon a mixed Ising model with both spin-integer ions, namely the mixed spin-1 and spin-2 Ising system [14][15][16][17][18][19][20].…”