Beschreibung:
<jats:title>Abstract</jats:title><jats:p>First, a dynamic theory is given for the stability of a melting interface when there is a segregating component. Stability during temperature gradient zone melting is analysed to first order in the amplitude of the intial disturbance, assuming infinite thermal conductivity. This case is also discussed with the addition of nucleation kinetics at the interfaces, and slowly developing instabilities are found in most cases. Thermal effects are included and are found to modify but not remove the instabilities whose wavelength is longer than the zone thickness. However, if the wavelength is shorter than the zone thickness an instability may develop rapidly unless the interface free energy is sufficient to stabilize the interfaces. This conclusion has been found previously by Seidensticker. The conditions for avoiding the fast instability are thin zones and small temperature gradients.</jats:p>