Asymptotic analysis of the PNP model for asymmetric-valence electrolytes yields a valence-dependent transition current at which the Debye layer vanishes, plus explicit composite solutions for 2z:z, z:2z and z:z cases and a collapsed phase diagram.
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson--Nernst--
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Modelling Intermediate-Current Transitions in Asymmetric-Valence Binary Electrolytes
Asymptotic analysis of the PNP model for asymmetric-valence electrolytes yields a valence-dependent transition current at which the Debye layer vanishes, plus explicit composite solutions for 2z:z, z:2z and z:z cases and a collapsed phase diagram.