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

ÖZÜM S., ERDEM R.

MODERN PHYSICS LETTERS B, vol.34, no.30, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 30
  • Publication Date: 2020
  • Doi Number: 10.1142/s0217984920503388
  • Journal Name: MODERN PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Steady state kinetics, spin-1 ising model, path probability method, complex magnetic susceptibility, EMERY-GRIFFITHS MODEL, DYNAMIC PHASE-TRANSITIONS, BLUME-CAPEL MODEL, MAGNETIC-RELAXATION, COMPLEX SUSCEPTIBILITY, UNSTABLE SOLUTIONS, SYSTEM, FIELD, BEHAVIOR
  • Akdeniz University Affiliated: Yes

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.