To obtain an efficient diffusion process is an intriguing and important issue in the study of dynamical behaviors on real networks. Most previous studies are mainly focused on the analysis based on the random walk strategy, whose entropy rate is bounded by the logarithm of the largest node...

The molecular-based magnet system consists of mixed spin-2 and spin- 5/2 honeycomb lattices with ferrimagnetic interlayer coupling. Within the framework the effective-field theory with self-spin correlations and differential operator technique, the effects of the transverse field on the...

Within the framework of the effective-field theory with correlations, the ferromagnetism of spin-32 Ising model with a transverse crystal field on honeycomb and square and simple cubic lattices is studied. Tricritical phenomena have been observed for the square and simple cubic lattices, but...

Low-temperature magnetic properties of a Heisenberg model consisting of ferro- and antiferromagnetic layer superlattices are studied by using spin-wave theory and retarded Green's function method. The four-sublattice magnetizations and internal energy and specific heat at low temperature are...

The method of the effective-field theory with self-spin correlations and the differential operator technique is used to study the magnetic properties of the spin-3/2 Ising model with biaxial crystal-field on the honeycomb lattice. The effects of a biaxial crystal-field described by two uniaxial...

Magnetic properties of a biaxial spin-1 system in an applied transverse field are investigated by using the effective-field theory with correlations on the basis of the differential technique. We have studied the effects of the transverse field on the phase diagrams, internal energy, and...

The Transverse Ising Model (TIM) based on the effective-field theory has been developed to study the physical properties of the ferroelectric bilayer system BaTiO3/SrTiO3 (BTO/STO), based on the differential operator technique. The effect of strain on the interfacial layers between two different...

Magnetic properties of a biaxial spin system on the honeycomb and square lattice have been studied based on the effective-field theory with the differential operator technique. The effects of the external longitudinal magnetic field on the magnetization and susceptibility are discussed in...

The mixed spin-12 and spin-32 transverse Ising model with a crystal field is studied within the framework of the effective-field theory with correlations. The phase diagrams and thermal behaviors of magnetizations are investigated numerically for the honeycomb (z=3). The results show that there...

The properties of spin-32 transverse Ising model with the anisotropic crystal field interaction are studied by using the effective-field theory with correlations based on both the approximated Van der Waerden identity and the differential operator technique. The longitudinal and transverse...