  In this study, the temperature variations of the equilibrium and the
non-equilibrium antiferromagnetic and ferromagnetic susceptibilities of a
metamagnetic system are examined near the critical point. The kinetic equations
describing the time dependencies of the total and staggered magnetizations are
derived by utilizing linear response theory. In order to obtain dynamic
magnetic relaxation behavior of the system, the stationary solutions of the
kinetic equations in existence of sinusoidal staggered and physical external
magnetic fields are performed. In addition, the static and dynamical mean field
critical exponents are calculated in order to formulate the critical behavior
of antiferromagnetic and ferromagnetic magnetic response of a metamagnetic
system. Finally, a comparison of the findings of this study with previous
theoretical and experimental studies is represented and it is shown that a good
agreement is found with our results.
