Effective field investigation of dynamic phase transitions for site diluted Ising ferromagnets driven by a periodically oscillating magnetic field

Abstract

Abstract. Dynamic behavior of a site diluted Ising ferromagnet in the presence of periodically oscillating magnetic field has been analyzed by means of the effective field theory (EFT). Dynamic equation of motion have been solved for a honeycomb lattice (z = 3) with the help of a Glauber type stochastic process. The global phase diagrams and the variation of the corresponding dynamic order parameter as a function of the Hamiltonian parameters and temperature has been investigated in detail and it has been shown that the system exhibits reentrant phenomena, as well as a dynamic tricritical point which disappears for sufficiently weak dilution.

Investigation of oscillation frequency and disorder induced dynamic phase transitions in a quenched-bond diluted Ising ferromagnet

“…Actually, this is an expected result since as the frequency increases then the time-dependent magnetization can not follow applied magnetic field immediately, hence the dynamically ordered phase region moves upward with the increasing frequency. We can also mention that aforementioned situations are also reported in previously published works [1,16,17,19,42,43].…”

“…For example, the effects of impurities on driving-rate-dependent energy loss in a ferromagnet under the time dependent magnetic field have been analyzed by Zheng and Li [41] by using several well defined models within the frameworks of MFT and MC, and they found using MFT that, the hysteresis loop area is a power law function of the linear driving rate as A − A 0 ∝ h β , where, A 0 , h and β are the static hysteresis loop area, the linear driving rate and scaling exponent of the system, respectively. Very recently, the quenched site and bond diluted kinetic Ising models under the influence of a time dependent oscillating magnetic field have been analyzed by making use of EFT [42,43] on a two dimensional honeycomb lattice. In Ref.…”

“…In Ref. [42], the global phase diagrams including the reentrant phase transitions are presented by the authors for site diluted kinetic Ising model, and they showed that the coexistence regions disappear for sufficiently weak dilution of lattice sites. Following the same methodology, the authors have concentrated on the influences of quenched bond dilution process on the dynamic behavior of the system.…”

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

“…We should also emphasize that in recent years, the EFT with correlations based on Glauber-type stochastic dynamics, namely the dynamic effective-field theory (DEFT) with correlations, has been applied to study the DPT and present the dynamic phase diagrams in the spin-1/2 [49][50][51][52], spin-1 [53][54][55] Ising system has been used for investigating the magnetic behaviors of molecular-based magnetic materials, such as AFe II Fe III (C 2 O 4 ) 3 [A ¼N(n-C n H 2n þ 1 ) 4 , n ¼3-5] [58]. On the other hand the spin (1/2, 1) Ising system has been used for investigating the magnetic behaviors of NiCu(pba)(H 2 O) 3 Á 2H 2 O [5,6] hence dynamics of the mixed spin (1/2, 1) Ising system should also study more accurate methods, such as the DEFT with correlations.…”

“…On the other hand the spin (1/2, 1) Ising system has been used for investigating the magnetic behaviors of NiCu(pba)(H 2 O) 3 Á 2H 2 O [5,6] hence dynamics of the mixed spin (1/2, 1) Ising system should also study more accurate methods, such as the DEFT with correlations. Moreover, in the past two decades, both experimental (see [59][60][61][62][63] and references therein) and theoretical (see [49][50][51][52][53][54][55][56][57][58][64][65][66][67][68][69][70][71][72][73][74][75][76] and references therein) investigations of the nonequilibrium critical phenomena, especially the DPT and dynamic phase diagrams, have received a great deal of attention due to the fact that, besides the scientific interest, the study of DPT can also inspire new methods in materials and manufacturing process and processing as well as in nanotechnology [77].…”