A transfer matrix approach has been worked out to test the predictions of the two-cell mean-field renormalization group (MFRG) for the square Ising cells with linear size up to L⩽11. The convergence of the finite-size critical couplings towards the exact value both for MFRG and for the cluster...

We study the time-dependent structure factor of the one-dimensional Glauber model upon instantaneous cooling. Results obtained earlier by Reiss, Mazenko and Widom, and Bray, are linked together. Next, finite-size scaling in the limit of zero temperature, long times, small wave vectors, and large...

Within an effective-field formalism we study effects of different single-ion anisotropies on the magnetic properties (phase diagram, total and sublattice magnetizations) of a mixed spin-1 and spin-32 Ising ferrimagnetic system on a honeycomb lattice. At a finite temperature we obtain quite a...

In this work we study an axial next-nearest neighbor Ising (ANNNI) model with spin 1 and crystal-field anisotropy. We discuss its properties and construct its phases diagrams within the mean-field approximation. In particular, we show that modulated phases with zero magnetization planes, or...