Abstract

After a review of our recent results of phase ordering kinetics in systems with competing interactions, we describe new results related to Ostwald ripening obtained through a study of the effects of a long-range repulsive interaction on the classical coarsening mechanism of Lifshitz and Slyozov. Beginning with a Langevin description, we derive a set of interface equations describing both the growth and motion of droplets and solve numerically. We study two regimes: in one, the system reaches hexagonal order and the droplet distribution function becomes a delta function; in the other, the system is disordered and polydisperse with a strong coupling between the position and the size of the droplets.

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