  We study the fate of the Ising model and its universal properties when driven
by a rapid periodic drive and weakly coupled to a bath at equilibrium. The far
from equilibrium steady-state regime of the system is accessed by means of a
Floquet mean field approach. We show that, depending on the details of the
bath, the drive can strongly renormalize the critical temperature to higher
temperatures, modify the critical exponents, or even change the nature of the
phase transition from second to first order after the emergence of a
tricritical point. Moreover, by judiciously selecting the frequency of the
field and by engineering the spectrum of the bath, one can drive a
ferromagnetic Hamiltonian to an antiferromagnetically ordered phase and
vice-versa.
