Micelles, liposomes, microgels, dendrimers, macrocyclic host molecules, and nanoparticles represent nanocarriers used to transfer cargo, such as drug molecules, among each other and to target sites. We calculate the kinetics of collision-mediated transfer of cargo within ensembles of chemically distinct mobile nanocarriers that each hosts noninteracting cargo items on discrete and identical sites. Rate equations for collision-mediated transfer of cargo are expressed in the Gaussian limit as a set of Fokker-Planck equations and solved in the limit of low occupation. The results are analytic expressions for the detailed cargo distributions of each carrier type as a function of time, from an arbitrary initial apportionment to a set of Gaussians in equilibrium.

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• Drug delivery
• Kinetic theory
• Transport phenomena
• Nanoparticles
• Surfactants, micelles & vesicles
• Stochastic differential equations