On the Influence of the Random Noise on Phase Separation

In this paper, the stochastic modeling of phase separation of a binary alloy is studied and the behavior analysis of phase separation is performed through numerical simulations. Thermal fluctuation and disturbance such as impurities in materials play an important role in phase separation. A simple description of the mechanism of phase separation is explained in section 2. The stochastic model of phase separation is given and the definition of the solution is stated in section 3. Section 4 is devoted to numerical simulations and the influence of the random noise on the phase separation is studied.

phase separation

stochastic Cahn-Hilliard equation

random noise

numerical simulations