Diffuse layer around a sphere

We turn now to the spherical geometry, where curvature complicates 

No analytical solution exists, leaving numerical calculations for specific situations or asymptotic solutions to describe limiting behavior. 

For thin double layers, i.e. /ca 1, we can rescale the equations with 

For Ko c , we recover a description pertinent to a flat interface. Thin double layers, therefore, exhibit a saturation effect similar to that for planar layers, i.e. for 1 

The numerical results also demonstrate that saturation effect at high potential is a general feature of spherical double layers. Because the potential diminishes with distance from the surface, linearization becomes appropriate and the decay is exponential, viz. 

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