We study the time dependence of the one-dimensional weakly coupled spin-1 Ising system by means of the modified version of Glauber's one-dimensional spin relaxation model and the system of dynamic equations for the one- and two-points functions is derived. We solve the dynamic equations...

The magnetic properties of a cylindrical Ising nanotube with a spin- 1/2 core surrounded by a spin- 3/2 shell system have been studied by means of the effective field theory (EFT). We have investigated the effects of crystal-field coupling at the surface shell and bilinear interactions among the...

The multicritical behavior of the antiferromagnetic spin-32 Blume–Emery–Griffiths model in an external magnetic field is studied within the lowest approximation of the cluster variation method. We have investigated the thermal variations of order parameters for different values of...

The magnetic properties of an anti-ferromagnetic and ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model with a crystal field in a longitudinal magnetic field on the honeycomb (z=3) and square lattice (z=4) are studied by using the effective-field theory with correlations. The ground state...

In the presence of a uniform external magnetic field, the spin-1 fcc antiferromagnetic Ising model in the four sub-lattice with the nearest-neighbor bilinear and crystal field interactions is investigated by using mean-field theory. The lattice is considered in blocks and each block contains 32...

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...

The stationary states of the kinetic spin-1 Blume–Capel (BC) model on the Bethe lattice are analyzed in detail in terms of recursion relations. The model is described using a Glauber-type stochastic dynamics in the presence of a time-dependent oscillating external magnetic field (h) and...

Exact expressions for the magnetization or the dipole moment, the quadrupolar moment and the Curie temperature of the spin-3/2 Blume–Capel model on the Bethe lattice are derived using the recursion method. The thermal variations of the magnetization and quadrupolar moment order parameters are...

The phase diagrams of the bilayer spin-32 Ising model on the Bethe lattice is analyzed by taking into account the intralayer coupling constants of the two layers (J1,J2), interlayer coupling constant between the layers (J3) and crystal field interaction (D) for the coordination number q=3 by...

The random-crystal field spin-1 Blume–Capel model is investigated by the lowest approximation of the cluster-variation method which is identical to the mean-field approximation. The crystal field is either turned on randomly with probability p or turned off with q=1−p in a bimodal...