Random crystal field effect on the kinetic spin-3/2 Blume–Capel model under a time-dependent oscillating field

• Published in: Physica A Vol. 458; pp. 248 - 258
• Main Authors: El Hachimi, A.G., Dakir, O., Sidi Ahmed, S., Zaari, H., El Yadari, M., Benyoussef, A., El Kenz, A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.09.2016
• Subjects: Blume–Capel model; Dynamical phase transitions; Dynamical systems; Dynamics; Ferromagnetic phases; Glauber dynamics; Kinetic spin-3/2; Limit cycle; Magnetic fields; Magnetization; Mathematical models; Oscillating external field; Random crystal-field; Space phase trajectories; Time dependence; Kinetic spin-3/2; Space phase trajectories; Random crystal-field; Dynamical phase transitions; Glauber dynamics; Oscillating external field; Limit cycle; Blume–Capel model
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2016.02.070

The effect of random crystal-field on the stationary states of the kinetic spin-3/2 Blume–Capel model is investigated within the framework of the mean-field approach. The Glauber-type stochastic dynamics is used to describe the time evolution of the system which is subject to a time-dependent oscillating external magnetic field. In addition to the well-known phase transitions and the appearance of the partly ferromagnetic phase characterized by the magnetization  m= 1 in equilibrium case, a new dynamical regions between the ferromagnetic phases F1/2, F1 and F3/2 are found where F3/2+F1/2,F3/2+F1, F1+F1/2 phases coexist for a weak value of the reduced magnetic field (h). Whereas for higher value of h both solutions ordered F and disordered P phases coexist. Hence we present six types topologies of phase diagrams which exhibit dynamical first-order, second-order transition lines, dynamical tricritical and isolated critical end points. Furthermore, the dynamical thermal behavior magnetizations, susceptibilities and phase space trajectories are given and discussed. •Random crystal-field on the kinetic spin-3/2 Blume–Capel model is studied.•New dynamical mixed phases appear F3/2+F1/2,F3/2+F1 and F1+F1/2.•The system exhibits isolated end points, multicritical and dynamical tricritical phenomenon.