The exact solution of the doubly decorated Ising model with two- and four-spin interactions and crystal-field anisotropy is obtained using the generalized mapping transformation technique. Within this scheme, the exact relations for the phase boundaries, compensation points and spontaneous...

We report the inelastic neutron scattering from planar Ising ferromagnets. The lattice structures investigated are square, kagomé, triangular, and 3–12 (extended kagomé). Exact solutions are obtained for the inelastic neutron scattering function Sxx(q, ω) of these isotropic Ising...

We investigate an Ising model with three-spin interactions and five-spin interactions on a square lattice. We use exact mapping relations among interaction parameters and the temperature. We found that the system is equivalent to the eight-vertex model in some cases. For the system with an...

In this work we will study the thermodynamics properties of the quenched decorated Ising model with competitive interactions through the effective field theory (EFT) of a one-spin cluster. This model is used here to describe the thermodynamics properties of the cooper-based oxide superconductors...

A new Monte Carlo algorithm which provides enhanced sampling in the calculation of equilibrium thermodynamic properties of spin systems is presented. The algorithm proposed performs trial moves based on the generalized statistical distributions derived from a modification of the Gibbs-Shannon...

The logistic equation is one of the most familiar nonlinear differential equations in the biological and social sciences. Herein we provide an exact solution to an extension of this equation to incorporate memory through the use of fractional derivatives in time. The solution to the fractional...

In recent years the interest around the study of anomalous relaxation and diffusion processes is increased due to their importance in several natural phenomena. Moreover, a further generalization has been developed by introducing time-fractional differentiation of distributed order which ranges...

We give a precise numerical solution for decorated Ising models on the simple cubic lattice which show ferromagnetism, compensation points, and reentrant behaviour. The models, consisting of S=12 spins on a simple cubic lattice, and decorating S=1 or S=32 spins on the bonds, can be mapped...

Solutions for the problem on the equilibrium configurations of uncharged conducting liquid jets in a transverse electric field are obtained. These solutions correspond to finite-amplitude non-axisymmetric azimuthal deformations of the surface of a round jet: the jet is stretched along the field...

We study the multilayer growth of a single step model defined on a hexagonal lattice in d=1+1 dimensions. The growth model comprises deposition events, inlayer and interlayer diffusions, in particular, the newly discovered leapfrog mechanism. The model is applied to the (1×2) reconstructed...