Z. Lei et Sv. Garimella, A MODIFIED MULLINS-SEKERKA STABILITY ANALYSIS INCLUDING SURFACE-ENERGY EFFECTS, Journal of applied physics, 74(4), 1993, pp. 2494-2500
An excess enthalpy correction is proposed to the energy balance condit
ion at the solid-liquid interface used in the morphological stability
analysis of a planar interface. The Mullins-Sekerka stability criterio
n is modified to account for this excess enthalpy. Numerical calculati
ons show that the correction is especially significant at larger growt
h velocities; larger positive values of excess enthalpy have a stabili
zing influence on the interface.