A planar colloidal monolayer exhibits anomalous collective diffusion due to
the hydrodynamic interactions. We investigate how this behavior is affected by
the curvature of the monolayer when it resides on the interface of a spherical
droplet. It is found that the characteristic times of the dynamics still
exhibit the same anomalous scaling as in the planar case. The spatial
distribution, however, shows a difference due to the relevance of the radius of
the droplet. Since for the droplet this is both a global magnitude, i.e.,
pertaining the spatial extent of the spherical surface, and a local one, i.e.,
the radius of curvature, the question remains open as to which of these two
features actually dominates in the case of a generically curved interface.Comment: 7 pages, 2 figure
