  A solidification model based on the principle of maximum entropy production
rate (MEPR) is considered for the study of pure metals. The approach leads to
the development of a breakdown criterion which is able to account for the
solidification velocity and solid-liquid interface (SLI) thickness. The
quantitative knowledge of the SLI thickness and the maximum entropy generation
rate density obtained at breakdown gives an insight about the structure of the
SLI during solid to liquid phase transformation. The formation of facet and
non-facet morphology, and their transitions are accounted for, which is a
function of solidification velocity, heat of fusion, density and the
crystallographic growth plane.
