On the growth of one spherical precipitate in an isotropic infinite matrix
O. Simmich, H. Löffler · Kristall und Technik · 1980
Abstract The growth of one spherical precipitate in an isotropic infinite matrix is treated solving the diffusion equation of the “stationary solution”, i.e. assuming ∂c/∂t = 0, for the general case that the diffusion constant D depends on concentration c. The influence of the resistance of the interface p = p(R) on the growth is considered, too (R radius of the precipitate). It could be shown that the growth law of the particle R ∼ t1/2 holds even foreach D = D(c) used, but it depends sensitively on p = p(R) applied.