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Poisson and Nernst-Planck equation coupling

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I have a problem in coupling Poisson's equation and Nernst-Planck equation.

This is a very simple case. In my problem, I focus on the concentration in the dilute solution with applied electric field. The electric potential allied on the two electrodes are stationary. No reaction or flux in the system. The concentration of the solution is 1M, electric potential difference between two electrode is 10V.

Since this is a stationary problem, I set 1-D(just a line) with two physics, poisson equation and NP Equation, However, I can not get the reasonable plot, so how can I get the plot of the concentration vs position.

My model is attached.

Many thanks

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