Non-equilibrium Brownian motion of droplets under a temperature gradient

The migration of droplets (or bubbles) dispersed in a fluid under the action of a temperature gradient is an important problem in the manufacturing process of liquid alloys and high purity materials under near weightless conditions. In this work we obtain the expressions for the collective diffusion and the thermal diffusion coefficients for a system of interacting Brownian droplets dispersed in a liquid under an external temperature gradient. The expressions depend on the pair interaction potential and the pair correlation function.