We analyse two-component electroneutral systems of classical finite-sized macroions with the charge Z ≫ 1 and point oppositely charged microions with a unit charge. The article deals with a modification of the Debye–Hückel plus hole approximation when nonlinear screening effect is taken into account in asymmetric complex plasmas. We calculate the interaction energy in the Poisson–Boltzmann plus hole approximation considering the interaction of all particles (both inside and outside the hole). This energy has a greater value than some previous results. In addition, we subdivide all hole microions into two types, free microions and bound ones, and show a significant reduction of an effective macroion charge Z* in comparison with its initial charge Z due to the nonlinear screening by a thin high-concentration bound microions envelope. We demonstrate that this procedure increases the Debye radius that takes the screening by microions and macroions outside the hole into account.

中文翻译：

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Poisson-Boltzmann 中的相互作用能加上不对称复杂等离子体中的空穴逼近

我们分析了带电荷Z ≫ 1的经典有限尺寸宏观的双分量电中性系统， 并用单位电荷指向带相反电荷的微离子。本文讨论了在不对称复杂等离子体中考虑非线性屏蔽效应时对 Debye-Hückel 加孔近似的修改。我们计算了泊松-玻尔兹曼加孔近似中的相互作用能，考虑了所有粒子（孔内和孔外）的相互作用。这种能量比以前的一些结果具有更大的价值。此外，我们将所有空穴微离子细分为两种类型，自由微离子和结合微离子，并显示有效宏观电荷Z * 与其初始电荷Z相比显着减少由于通过薄的高浓度结合微离子包膜进行非线性筛选。我们证明了该程序增加了德拜半径，该半径考虑了孔外微离子和宏观粒子的筛选。