A dynamic scaling assumption for phase separation

Abstract

A review of the dynamics of phase separation is presented, which focuses on the scaling assumption of the problem. Conventional linear and nonlinear theories are briefly reviewed. The problems with these conventional theories, and how the scaling idea can be used to overcome them are discussed. The growth rates of the droplets, domains, or grains are discussed in terms of the scaling assumption, and experimental tests of the scaling assumption for growth laws and scattering intensities are reviewed. To explain singular properties of the structure function and growth rate, which are observed experimentally, a strong correlation among droplets or grains on phase separations is postulated. A nonconventional form of the scattering function and a nonconventional droplet growth rate are explained qualitatively.