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

A.G. El Hachimi, O. Dakir, S. Sidi Ahmed, H. Zaari, M. El Yadari, A. Benyoussef and A. El Kenz

Physica A: Statistical Mechanics and its Applications, 2016, vol. 458, issue C, 248-258

Abstract: 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.

Keywords: Random crystal-field; Kinetic spin-3/2; Dynamical phase transitions; Blume–Capel model; Glauber dynamics; Oscillating external field; Space phase trajectories; Limit cycle (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:458:y:2016:i:c:p:248-258

DOI: 10.1016/j.physa.2016.02.070

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