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We have investigated the time-dependent regime of a two-dimensionalmetamagnetic model at its tricritical point via Monte Carlo simulations. Firstof all, we obtained the temperature and magnetic field corresponding to thetricritical point of the model by using a refinement process based onoptimization of the coefficient of determination in the log-log fit ofmagnetization decay as function of time. With these estimates in hand, weobtained the dynamic tricritical exponents $\theta $ and $z$ and the statictricritical exponents $\nu $ and $\beta $ by using the universal power-lawscaling relations for the staggered magnetization and its moments at earlystage of the dynamic evolution. Our results at tricritical point confirm thatthis model belongs to the two-dimensional Blume-Capel model universality classfor both static and dynamic behaviors, and also they corroborate the conjectureof Janssen and Oerding for the dynamics of tricritical points.

Novel considerations about the non-equilibrium regime of the tricritical point in a metamagnetic model: localization and tricritical exponents