  The kinetics of ordering and concurrent ordering and clustering is analyzed
with an equation of motion initially developed to account for dissipative
processes in quantum systems. A simplified energy eigenstructure, or
pseudo-eigenstructure, is constructed from a static concentration wave method
to describe the configuration-dependent energy for atomic ordering and
clustering in a binary alloy. This pseudo-eigenstructure is used in conjunction
with an equation of motion that follows steepest entropy ascent to calculate
the kinetic path that leads to ordering and clustering in a series of
hypothetical alloys. By adjusting the thermodynamic solution parameters, it is
demonstrated that the model can predict the stable equilibrium state as well as
the unique thermodynamic path and kinetics of continuous/discontinuous ordering
and concurrent processes of simultaneous ordering and phase separation.
