Cahn-Hilliard-Cook equation

With the form of free energy functional prescribed in equation (A3.3.52). equation (A3.3.43) and equation (A3.3. 48) respectively define the problem of kinetics in models A and B. The Langevin equation for model A is also referred to as the time-dependent Ginzburg-Landau equation (if the noise term is ignored) the model B equation is often referred to as the Cahn-Hilliard-Cook equation, and as the Cahn-Hilliard equation in the absence of the noise term. 

The simplest extension of the Cahn-Hilliard-Cook model to include shear is to assume that the only consequence is that concentration fluctuations are convected with the macroscopic flow field, as suggested by Lai and Fuller [43], adopting a model proposed by Ohta et al. [44]. With such an assiunption, stress, and hence flow rate, gradients are neglected. This is only likely to be a physically realistic assumption if the viscoelastic properties of the two components are identical. The equation of motion is then a simple modification of Eq. 28,... 

TDGL is a microscale method for simulating the structural evolution of phase-separation in polymer blends and block copolymers. It is based on the Cahn-Hilliard-Cook (CHC) nonlinear diffusion equation for a binary blend and falls under the more general phase-field and... 

There are several variations to the Cahn-Hilliard Equation that have been developed. A noise term was proposed by Cook [12] to denote the effects of thermal fluctuation. Extending from Eq. (4), a form of Cahn-Hilliard Equation with variable mobility was introduced by Danger etc [13] and Kitahara, etc. [14] dC... 

---