Dynamic phase diagrams of a mixed spin-1 and spin-5/2 Ising system in an oscillating magnetic field

Abstract

We study the nonequilibrium aspects of the kinetics of a mixed spin-1 and spin-5/2 Ising system, including the biquadratic nearest-neighbor pair interaction (K) and the crystal-field interaction (D), under the presence of a time-dependent oscillating external magnetic field within a mean-field approach. The set of mean-field dynamic equations is obtained by employing the Glauber transition rates. We investigate the time variations of the 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 to obtain the dynamic phase transition (DPT) points. The dynamic phase diagrams are presented in three different planes. The phase diagrams are discussed, and a comparison is made with the results of other kinetic mixed spin Ising systems.

Phase diagrams of a nonequilibrium mixed spin-3/2 and spin-2 Ising system in an oscillating magnetic field

“…3(a) very similar to that found in earlier studies of the mixed Ising systems with spins (1/2, 1) [8,15], spins (1/2, 3/2) [16], spins (1, 3/2) [17], spins (1, 5/2) [6] and spins (1, 2) [18]. Moreover, very similar phase diagrams with Fig.…”

“…Experimentally, the A k [B(CN) 6 ]lnH 2 O [1], MnNi(EDTA)-6H 2 O [2] and AFe II Fe III (C 2 O 4 ) 3 [A ¼ N(n-C n H 2n+1 , n ¼ 3-5] [3] complexes have been shown to be examples of mixed-spin systems. These molecularbased magnetic materials are considered to be possible useful materials for magneto-optical recordings [3][4][5].…”

“…The nonequilibrium behavior of this system was also studied by using the dynamical pair approximation [9], the dynamic MC simulations and finitesize scaling arguments [10], the MC simulations and the dynamical pair approximation [11][12][13], the pair approximation with point distribution [14] and Glauber-type stochastic dynamics [15]. Very recently, we studied the dynamics of mixed-spins Ising systems with spins (1/2, 3/2) [16], with spins (1, 3/2) [17], with spins (1, 2) [18] as well as with spins (1, 5/2) [6].…”

“…Equilibrium behavior of these four mixed-spin systems have been investigated by variety of techniques such as the meanfield approximation (MFA), the effective-field theory (EFT), the cluster variation method (CVM), Bethe-Peierls approximation (BPA), Monte-Carlo (MC) simulations (see [6] and references therein). Moreover, the exact solutions of these systems on certain lattices, such as a honeycomb lattice, a bathroom-tile, diced lattices, the Bethe lattice and two-fold Cayley tree, and several decorated planer lattices, have been also studied in detail (see [7] and references therein).…”

Dynamic phase transitions and compensation temperatures in the mixed spin-1 and spin-5/2 Ising system on alternate layers of a hexagonal lattice

“…As far as we know, there has been only one investigation about the dynamical aspects of this model. Keskin et al [24] have studied the nonequilibrium properties of the kinetic mixed spin-1 and spin-5/2 Ising model with bilinear (J) and biquadratic (K) nearest-neighbor exchange interactions and a single-ion potential or crystal-field interaction (D) under the presence of a time-varying oscillating magnetic field on a square lattice using the Glauber-type stochastic dynamics [25]. They have been presented the dynamic phase diagrams in three different planes.…”