Dynamical properties of long wavelength interface fluctuations during nucleation dominated crystal growth.

Motivated by advances in laser scattering experiments on crystal melt interfaces during growth conditions, we discuss the interface fluctuations of a faceted crystal during nucleation dominated growth. If the nucleation rate is large enough so that each layer grows as a result of multiple nucleation events, the properties of long wavelength interface fluctuations can be understood in terms of a simple random walk picture. Accordingly, apart from a change in length scale, the interface fluctuations during growth resemble those of a rough interface. This is a form of dynamic roughening. The various factors contributing to the decay of fluctuations are discussed and a comparison with a model of Bilgram et al. for the interface dynamics is made.