On the Loci of Relaxation Time and Magnetic Dispersion Maxima in the Mean-Field Ising Model

Authors : Songül ÖZÜM

Pages : 1303-1313

Doi:10.16984/saufenbilder.780082

View : 15 | Download : 9

Publication Date : 2020-12-01

Article Type : Research Paper

Abstract :Based on the phenomenological approach, loci of relaxation time and magnetic dispersion maxima near the critical regime in a spin-1/2 mean-field Ising model were performed. The shift in temperature insert ignore into journalissuearticles values(T); of relaxation time insert ignore into journalissuearticles values(τ); maximum was detected and its behavior near the second-order transition points are presented at different magnetic field values insert ignore into journalissuearticles values(h); and different lattice coordination numbers insert ignore into journalissuearticles values(q);. An expression for the dynamic insert ignore into journalissuearticles values(or complex); susceptibility insert ignore into journalissuearticles values(χ = χ1 - iχ2); is also derived. The temperature dependence of the magnetic dispersion insert ignore into journalissuearticles values(χ1); and magnetic absorption insert ignore into journalissuearticles values(χ2); factors have been studied near the critical regime. It is found that the maximum of χ1 as a function of frequency insert ignore into journalissuearticles values(ω); and kinetic coefficient insert ignore into journalissuearticles values(L); obeying an approximately exponential increases and decreases in T- ω and T-L planes near the critical region.
Keywords : Ising model, , mean field approximation, , phenomenological approach, , relaxation time, magnetic dispersion maxima