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摘要
A theoretical analysis on electric double layers formed near corners and neighboring branches of a comb electrode with a prescribed electric potential in an ionic conductor was performed using the linearized Poisson-Nernst-Planck theory which is closely related to the linearized Gouy-Chapman theory in static (time-independent) problems. Analytical solutions were obtained for two problems relevant to ionic capacitance applications defined over rectangular domains. The electric potential and ion distributions were calculated which are new, useful, and fundamental to the understanding and design of devices with comb electrodes. The basic behaviors of the distributions are presented and examined. For a positively charged electrode, the distribution of the negative ions was found to be qualitatively similar to that of the electric potential, and the behavior of the positive ions is the opposite. At an electrode corner, the electric double layer is relatively thicker than along a line electrode. When the distance between two positively charged parallel electrode branches is about twice the Debye length, the region between the two electrode branches is nearly uniformly filled by negative ions. Published by AIP Publishing.
- 出版日期2017-1-28
- 单位浙江大学
