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I want to analytically determine a simplified potential and electric field distribution around planar electrodes, and an 40nm square electrode in an 50nm insulating well.

I think that the Poisson-Boltzmann equation should be appropriate but I’m unsure about a few things:

  • how do I account for the presence of the stern layer?

  • how do I find the electric field distribution when the potential applied is high (e.g. 2V? Where the Debye Huckel approximation cannot be used)

Cheers, Bryan

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