弱电解质中电离Poisson-Nernst-Planck方程揭示Kuramoto长度对光催化水裂解反应的可能影响
Possible influence of the Kuramoto length in a photo-catalytic water splitting reaction revealed by Poisson--Nernst--Planck equations involving ionization in a weak electrolyte
摘要：
本文在不假定电中性的情况下，利用Poisson-Nernst-Planck方程研究了弱电解质中电极反应引起的离子浓度分布和电荷密度梯度。在弱电解质中，只有一小部分分子被大量电离。离子浓度分布不仅取决于离子输运，而且还取决于分子的电离。我们考虑了弱电解质中分子的电离和离子缔合，得到了离子密度、静电势分布和离子电流的解析表达式。我们发现的情况下，总的离子密度梯度是由仓本长度，其特征的距离，离子扩散前协会。对于1：1的弱电解质，电荷密度梯度由德拜长度表征。我们讨论了这些长度尺度的作用，有效的水裂解反应，使用光电催化电极。
英文摘要：
We studied ion concentration profiles and the charge density gradient caused by electrode reactions in weak electrolytes by using the Poisson--Nernst--Planck equations without assuming charge neutrality. In weak electrolytes, only a small fraction of molecules is ionized in bulk. Ion concentration profiles depend on not only ion transport but also the ionization of molecules. We considered the ionization of molecules and ion association in weak electrolytes and obtained analytical expressions for ion densities, electrostatic potential profiles, and ion currents. We found the case that the total ion density gradient was given by the Kuramoto length which characterized the distance over which an ion diffuses before association. The charge density gradient is characterized by the Debye length for 1:1 weak electrolytes. We discuss the role of these length scales for efficient water splitting reactions using photo-electrocatalytic electrodes.
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