Using non-equilibrium computer simulations, it is shown that various phenom
enological criteria for melting and freezing hold not only in equilibrium b
ut in steady-state non-equilibrium as well. In particular, we study the ste
ady state of charge-polydisperse. Brownian particles shaken by a time-depen
dent oscillatory electric field. Among these criteria are the Lindemann mel
ting rule, the Hansen-Verlet freezing rule and the dynamical freezing crite
rion proposed for colloidal fluids by Lowen, Palberg and Simon.