The relaxation and complex magnetic susceptibility treatments of a spin-3/2
Blume-Capel model with quenched random crystal field on a two dimensional
square lattice are investigated by a method combining the statistical
equilibrium theory and the thermodynamics of linear irreversible processes.
Generalized force and flux are defined in irreversible thermodynamics limit.
The kinetic equation for the magnetization is obtained by using linear response
theory. Temperature and also crystal field dependencies of the relaxation time
are obtained in the vicinity of phase transition points. We found that the
relaxation time exhibits divergent treatment near the order-disorder phase
transition point as well as near the isolated critical point whereas it
displays cusp behavior near the first order phase transition point. In
addition, much effort has been devoted to investigation of complex magnetic
susceptibility response of the system to changing applied field frequencies and
it is observed that the considered disordered magnetic system exhibits unusual
and interesting behaviors. Furthermore, dynamical mean field critical exponents
for the relaxation time and complex magnetic susceptibility are calculated in
order to formulate the critical behavior of the system. Finally, a comparison
of our observations with those of recently published studies is represented and
it is shown that there exists a qualitatively good agreement.Comment: 13 pages, 8 figure
