Nonequilibrium phase transition in the kinetic Ising model on a two-layer square lattice under the presence of an oscillating field

Osman Canko, Ersin Kantar and Mustafa Keskin

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 1, 28-40

Abstract: The nonequilibrium or dynamic phase transitions are studied, within a mean-field approach, in the kinetic Ising model on a two-layer square lattice consisting of spin- 1/2 ions in the presence of a time varying (sinusoidal) magnetic field has been studied by using Glauber-type stochastic dynamics. The dynamic equations of motion are obtained in terms of the intralayer coupling constants J1 and J2 for the first and second layer, respectively, and interlayer coupling constant J3 between these two layers. The nature (first- or second-order) of the transitions is characterized by investigating the behavior of the thermal variations of the dynamic order parameters. The dynamic phase transitions are obtained and the dynamic phase diagrams are constructed in the plane of the reduced temperature versus the amplitude of the magnetic field and found fourteen fundamental types of phase diagrams. Phase diagrams exhibit one, two or three dynamic tricritical points for various values of J2/|J1| and J3/|J1|. Besides the paramagnetic (p), ferromagnetic (f) and compensated (c) phases, there were the f+c,f+sf,c+sf,af+p,m+p,f+m and c+af, where the af, sf and m are the antiferromagnetic, surface ferromagnetic and mixed phases respectively. Coexistence phase regions also exist in the system.

Keywords: The kinetic Ising model; Two-layer square lattice; Glauber-type stochastic dynamics; Dynamic phase transitions; Dynamic phase diagrams (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:1:p:28-40

DOI: 10.1016/j.physa.2008.09.024

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