Surface Concentration at t=0 for a SPM.

Hii,

At t=0,
Since there is a finite value of current that exits, the surface concentration ( boundary value) should be different than initial concentration as a gradient wrt r exists at t=0.
But,
The solution variable value for particle surface concentration at t = 0 is same as the initial concentration.

What is correct?

We assume that the particle is at rest when the simulation starts, then when the current is applied it takes some time for the concentration gradient to build up. You would see this same effect if you simulate rest then discharge yourself and zoom into the point just after the current is applied