The dynamics of the linear Ising model in the presence of transverse magnetic fields rotating at resonance frequencies not coinciding with the Zeeman frequency is studied. In the resonance approximation the expressions for some time-dependent spin averages are obtained. The property of total...

Description of the kinetics of the spin-system with a strong Ising exchange interaction suggested earlier1,2) applied for the analysis of the one-dimensional Ising model affected by a strong alternating field. Taking into account the non-equilibrium states of the reservoir of the magnetic...

Behaviour of linear Ising model in the strong transverse magnetic field rotating at the Zeeman frequency is studied. Time dependence of average values of magnetization components and some pair spin correlation functions is determined. The evolution low of spin averages after switching off the...

The method of investigation of the kinetic processes in the Ising model developed in the previous paper1) is used for the description of the one-dimensional Ising chain kinetics. A rigorous decoupling of the kinetic equations for reduced description parameters has been carried out and certain...

The method of theoretical investigation of the kinetic processes in the Ising models of arbitrary dimension and spin is developed. The method is based on the idea of reduction of the statistical description of the system in the process of its evolution. The kinetic equations for the reduced...

Exact results for the dynamics of the spatially inhomogeneous magnetization (SIM) in the one-dimensional dimerized isotropic XY model are obtained, and the long-time behavior of SIM is considered in detail. It is shown that in the asymptotic limit t → ∞, the time dependence of SIM can be...

The methods of the indirect interaction operator derivation for the quantum particles locally coupled with the quasi-particles of another physical subsystem are reviewed. A variant of the consecutive canonical transformations method which allows one to obtain a nonperturbative solution of the...

The construction of an indirect interaction operator for the particles of one physical subsystem via the quasiparticles of another subsystem consists of two steps: an automorphic mapping of the Hamiltonian defined in the Hilbert space of the problem under consideration and the averaging over the...