Stable drops: the Gibbs-Thomson condition and drop dynamics

In standard phase separated binary liquids, larger droplets grow while small droplets shrink due to the Gibbs-Thomson condition at droplet boundaries. As a result, the liquid reduces its overall interfacial area between the two phases. The dynamics of these systems can be described by Lifshitz-Slyozov-Wagner theory, and ultimately only one large (bulk) drop will survive in equilibrium. However, some binary liquid-like systems have a preferred, stable droplet size, and their final steady states have multiple microphase-separated droplets. This phenomena not well described by the standard Gibbs-Thomson condition or the standard Lifshitz-Slyozov-Wagner dynamics. This talk addresses three questions for systems with small stable droplets: how does the Gibbs-Thomson condition generalize, how does Lifshitz-Slyozov-Wagner dynamics generalize, and how much of this should apply when stable drops arise from non-equilibrium processes?