INSTABILITY IN THE CLASSIC THEORY OF COARSENING

It is shown that classic coarsening theory is unstable with respect to large-scale fluctuations of the linear dimension considerably exceeding the average intergrain distance and amplitudes of the order of the average values of the corresponding quantities. The consideration is based on reducing the classic theory equations to the form allowing the standard Fourier analysis to be employed. In the case of mobile nuclei, the tendency toward instability is shown to increase. © 1995 The American Physical Society.