The electrical response of an electrolytic cell to an external ac excitation is analysed by solving the equations of the Poisson–Nernst–Planck (PNP) continuum model for two ions (ambipolar) and one mobile ion diffusive systems. The theoretical predictions of the ambipolar system, formed by positive ions of mobility μ p and negative ions of mobility μ m , are investigated in the limit in which one of the mobilities goes to zero. The analysis reveals that these predictions correspond to the ones arising from the one mobile ion diffusive system only in the frequency range ω ≫ ω D μ m / μ p , in which ω D is the Debye’s frequency. For very low frequencies, it shows that the physical system formed by two mobile ions, one of which has a very low mobility, is clearly distinct from the physical system in which just one of the ions is mobile. We argue that apparent deviations of...

中文翻译：

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双极扩散在电解池的低频阻抗响应中

通过求解两个离子（双极性）和一个移动离子扩散系统的泊松－能斯特－普朗克（PNP）连续模型方程，分析了电解池对外部交流激励的电响应。在迁移率之一变为零的极限下，研究了由迁移率μp的正离子和迁移率μm的负离子形成的双极性系统的理论预测。分析表明，这些预测仅在ω≫ωDμm /μp的频率范围内与一个移动离子扩散系统的预测相对应，其中ωD是德拜的频率。对于非常低的频率，它表明由两个移动离子（其中之一具有非常低的迁移率）形成的物理系统明显不同于仅一个离子是移动的物理系统。