Abstract We consider conical structures appearing on the free surface of a liquid with ionic conductivity in an applied electric field. An exact self-similar solution for the electric field distribution near the cone apex is found. It corresponds to the space-charge-limited current mode: the electric current through the liquid cone is limited by both bulk and surface charges of ions with different signs. Dependences of the saturation current and of the potential drops inside and outside the conical formation on the cone half-angle, dielectric constant of liquid, and mobility of anions and cations are determined and analyzed.

中文翻译：

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空间电荷限制电流通过具有离子导电性的液体表面上的锥形结构

摘要 我们考虑在外加电场中出现在具有离子导电性的液体的自由表面上的锥形结构。找到了锥顶附近电场分布的精确自相似解。它对应于空间电荷限制电流模式：通过液锥的电流受到不同符号离子的体电荷和表面电荷的限制。确定并分析了饱和电流和锥形结构内部和外部的电位降对锥形半角、液体的介电常数以及阴离子和阳离子的迁移率的依赖性。