Effects of the Quenched Random Crystal Field on the Dynamic Spin-1 Blume-Capel Model

Abstract

In this study, we have analyzed the dynamical phase transitions of spin-1 BlumeCapel model with quenched random crystal field under the effect of a time dependent oscillating magnetic field. We have obtained the magnetic field, temperature (h, T ) cross sections of the global phase diagram for constant values of the concentration and the amplitude of the single-ion anisotropy within mean field approximation. There are regions of the phase space where both ordered and disordered phases coexist. In addition, the dynamic phase transition from one regime to the other can be a first-or a second-order depending on the region in the phase diagram. Hence, the system exhibits a number of interesting phenomena and a rich variety of phase diagrams with type being according to the concentration p of active local crystal fields.

Dynamic phase transitions in the presence of quenched randomness

“…Motivated by the current literature, in the present work we attempt to shed some light on the effect of quenched disorder on dynamic phase transitions. To the best of our knowledge, with the exception of a few mean-field and effective-field theory treatments of the problem [41][42][43][44][45][46], there exists no dedicated (numerical) work. However, what we have mainly learned from the previous studies on the topic is that the dynamic character of a typical magnetic system driven by a time-dependent magnetic field sensitively depends on the amount of disorder, accounting for reentrant phenomena and dynamic tricritical points [43].…”

Mean-field solution of the Blume–Capel model under a random crystal field

“…From the theoretical point of view a particularly interesting question is how such phase diagrams are changed under the effect of quenched randomness [5,6,7,8]. Because of that, Kaufman and Kanner [9] studied the Blume-Capel model under a random magnetic field and obtained a rich variety of phase diagrams.The effect of random crystal field has been considered by a several authors [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26].…”

Stationary State Solutions of a Bond Diluted Kinetic Ising Model: An Effective-Field Theory Analysis

“…For this purpose, more effective models have been introduced to analyze the influence of the disorder on the thermal and magnetic properties of real magnetic materials. Very recently, kinetic spin-1 Blume-Capel model (BC) including quenched random single-ion anisotropy has been investigated by using MFA and EFT, in order to reveal the effects of the impurities on the dynamic evolution of phase transition [21,22,23]. Although there exists a limited number of studies including the disorder effects under the time dependent oscillating magnetic field, the dynamic nature of the bond diluted kinetic Ising model which would exhibit an unusual dynamic behavior has not yet been investigated.…”