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...

The mixed spin-12 and spin-S(S=1,32,52,72) Ising ferrimagnetic systems with a crystal field are studied within the framework of the exact recursion relations on the Bethe lattice. The phase diagrams and thermal behaviors of magnetizations are investigated numerically for the different values of...

The lattice spin model with Q-component discrete spin variables restricted to have orientations orthogonal to the faces of Q-dimensional hypercube is considered on the Bethe lattice, the recursive graph which contains no cycles. The partition function of the model with dipole–dipole and...