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Electrochemical Thin Films at and above the Classical Limiting Current

Electrochemical Thin Films at and above the Classical Limiting Current

We study a model electrochemical thin film at DC currents exceeding the classical diffusion-limited value. The mathematical problem involves the steady Poisson--Nernst--Planck equations for a binary electrolyte with nonlinear boundary conditions for reaction kinetics and Stern-layer capacitance, as well as an integral constraint on the number of anions. At the …