The mixed spin-2 and spin-52 Blume–Emery–Griffiths (BEG) Ising ferrimagnetic system is studied on the Bethe lattice using the exact recursion equations with the coordination number q=3 corresponding to the honeycomb lattice on real lattices. The influences of the crystal field and the...

We consider a system consisting of two layers of Bethe lattices each with a branching ratio of q Ising spins. The layer with spin- 1/2 atoms interacting with the nearest-neighbor (NN) bilinear interaction J1 is laid over the top of the other with spin-1 atoms interacting with the bilinear NN...

We present the numbers of dimer–monomers Md(n) on the Sierpinski gasket SGd(n) at stage n with dimension d equal to two, three and four. The upper and lower bounds for the asymptotic growth constant, defined as zSGd=limv→∞lnMd(n)/v where v is the number of vertices on SGd(n), are derived...

We present the numbers of ice model configurations (with Boltzmann factors equal to one) I(n) on the two-dimensional Sierpinski gasket SG(n) at stage n. The upper and lower bounds for the entropy per site, defined as limv→∞lnI(n)/v, where v is the number of vertices on SG(n), are derived in...