Theory of anomalous collective diffusion in colloidal monolayers on a spherical interface
arXiv:1711.03519 · doi:10.1103/PhysRevE.97.022607
Abstract
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.
7 pages, 2 figures
References in corpus (7)
- Anomalous hydrodynamic interaction in a quasi-two-dimensional suspension
- Hydrodynamic interaction in confined geometries
- Lateral diffusion of a protein on a fluctuating membrane
- Hydrodynamic Interactions in Two Dimensions
- Hydrodynamic mobility of a solid particle nearby a spherical elastic membrane. II. Asymmetric motion
- Onset of anomalous diffusion in colloids confined to quasi-monolayers
- Signature of the time-dependent hydrodynamic interactions on the collective diffusion in colloidal monolayers