The two-sublattice da Costa–Nobre–Yokoi (CNY) model of spin S⩾1, where spins on each of two sublattices have uniform biquadratic interactions and random exchange interactions only with spins on the other sublattice, is extended to a model on a lattice with three sublattices. We investigate...

The method based on the use of the generating functions of spin correlators was proposed for the description of the Glauber dynamics of disordered Ising chain. The partial differential equations was derived for these generating functions and the formal solutions were obtained. The exact...

The phase transitions of a ferromagnet spin-1/2 Ising superlattice consisting of two different materials are examined using the effective field theory. The critical temperature of the system is studied as a function of the thickness of the constituents in a unit cell, exchange interactions in...

The phase transitions of a diluted spin-12 Ising film are examined using the framework of the effective field theory with a probability distribution technique that accounts for the single-site spin correlations. The critical temperature Tc/J of the system is calculated as a function of the...

Finite-size lattice Monte Carlo simulations of phase transitions in Ising systems (1⩽d⩽4) allow the determination of simple binomial scaling functions for T<Tc and T>Tc, consistent with the asymptotic behavior for the critical isotherm, the spontaneous magnetization and the zero field susceptibility,...</tc>

Dynamical phase transitions in Ising systems on Sierpinski Carpets and bond-percolation lattices at percolation threshold are studied by means of standard Monte Carlo simulations. We find that the area of hysteresis loop A can be scaled with respect to the sweep rate h of a linear driving field....