Generalized, conceptually unified theory of linear phoretic drift and osmotic slip

Colloidal particles can be driven to migrate under applied electric fields (electrophoresis) or in response to solution gradients (diffusiophoresis). These phenomena are often discussed and derived differently, due to the physical differences in the forces that drive them. This paper develops a complementary, conceptually unified approach to predict phoretic drift and osmotic slip velocities, which naturally reproduces existing results while providing natural extensions and generalizations, as well as a natural way to understand and predict global characteristics of particle flow fields.