  We study the equilibrium and dynamic phase transition properties of
two-dimensional Ising model on a decorated triangular lattice under the
influence of a time-dependent magnetic field composed of a periodic square wave
part plus a time independent bias term. Using Monte Carlo simulations with
standard Metropolis algorithm, we determine the equilibrium critical behavior
in zero field. At a fixed temperature corresponding to the multidroplet regime,
we locate the relaxation time and the dynamic critical half-period at which a
dynamic phase transition takes place between ferromagnetic and paramagnetic
states. Benefiting from finite-size scaling theory, we estimate the dynamic
critical exponent ratios for the dynamic order parameter and its scaled
variance, respectively. The response function of the average energy is found to
follow a logarithmic scaling as a function of lattice size. At the critical
half-period and in the vicinity of small bias field regime, average of the
dynamic order parameter obeys a scaling relation with a dynamic scaling
exponent which is very close to the equilibrium critical isotherm value.
Finally, in the slow critical dynamics regime, investigation of metamagnetic
fluctuations in the presence of bias field revels a symmetric double-peak
behavior for the scaled variance contours of dynamic order parameter and
average energy. Our results strongly resemble those previously reported for
kinetic Ising models.
