The two-layer spin-1 Ising model on the Bethe lattice is studied in terms of the intralayer coupling constants J1 and J2 of the two layers, interlayer coupling constant J3 between the layers and the external magnetic fields, which are coupled to the two layers and assumed to be different for...

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...

The sound attenuation phenomena is investigated for a spin- 3/2 Ising model on the Bethe lattice in terms of the recursion relations by using the Onsager theory of irreversible thermodynamics. The dependencies of sound attenuation on the temperature (T), frequency (w), Onsager coefficient (γ)...

The temperature-dependent phase diagrams of the spin-3/2 Ising model on a two-layer Bethe lattice with ferromagnetic (FM)/antiferromagnetic (AFM) intra-layer and either FM or AFM type inter-layer interactions are investigated under a constant magnetic field (H) and in the presence of a crystal...

The Ising model for the spin-(1,12,1) sandwiched trilayer Bethe lattices is investigated in terms of the recursion relations with either ferromagnetic (FM) or antiferromagnetic (AFM) type of bilinear interactions between the nearest-neighbor (NN) spins. In addition to the ground-state (GS) phase...

The phase diagrams of the mixed spin-1 and spin-2 Blume–Capel Ising ferromagnetic system (J0) with two crystal-field interactions, DA for spin-1 and DB for spin-2, is studied on the Bethe lattice by using the exact recursion equations. The exact expressions of the order-parameters for the...

The dependence of the phase diagrams on the random crystal field (RCF) is investigated for the spin-1 Blume–Capel (BC) model on the Bethe lattice. The calculations are carried out in terms of the recursion relations for the coordination number z=4 which corresponds to the square lattice. The...

We present the exact formulation for the mixed spin-12 and spin-32 Blume–Capel Ising ferrimagnetic system on the Bethe lattice by the use of exact recursion relations. The exact expressions for the magnetization, quadrupole moment, Curie temperature and free energy are found and the phase...