There are many cases of practical interest where ordered intermetallic
compounds or concentrated alloys are maintained in non-equilibrium co
nditions by some external dynamical forcing : such is the case for all
oys under irradiation, under high energy ball milling or under cyclic
fatigue. Phase equilibria in such systems cannot be assessed from equi
librium thermodynamics. We briefly review here different approaches ba
sed on kinetic descriptions for handling the question of phase stabili
ty in these systems, and showing that these methods are also appropria
te for following diffusion-controlled microstructural evolutions in sy
stems, either sustained in a non-equilibrium state or during a relaxat
ion toward an equilibrium state.