Determination of the steady-state kinetics in a spin-1 Ising model using path probability method

Abstract

As a continuation of our previously published work, we propose a theoretical framework for the determination of steady-state kinetics in a spin-1 Ising model by the path probability method. The framework is based on the principles of non-equilibrium statistical physics and is quite different from the phenomenological approach. We construct a set of linear kinetic equations for the order parameters using the non-linear dynamic (or rate) equations in the presence of external magnetic field. From the steady-state solutions of the linear equations, an expression for the complex (or dynamic) magnetic susceptibility (chi = chi(1) - i chi(2)) is derived. The temperature dependence of the magnetic dispersion relation (chi(1)) and magnetic absorption factor (chi(2)) has been studied in the ferromagnetic (FM) and paramagnetic (PM) phases as well as near the critical regime.