I am using transport of diluted species with electrostatics and I need to add space charge density to define the electric field for electromigration. I have ionic 6 species.
A variable k is defined as F^2*(mobility*charge*concentration) and multiply k with Vx in es module. This is A/m^2 ans surface charge density is C/m^2. Can anybody guide me if I'm missing anything in conversion of charge carried by species to an electric field?
I do not quite understand your explanation but the surface charge density equals to permittivity*potential gradient at the surface:
Q = epsilon*grad(V)
C/m^2 = F/m*V/m
BR
Lasse
Maybe I should add that the electric field created by surface charge does not create Faradaic current, but the displacement (capacitive) current Ic:
Ic = -epsilon*d(grad(V))/dt
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