Charge regulation of a surface immersed in an electrolyte solution.,The European Physical Journal E

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Charge regulation of a surface immersed in an electrolyte solution.
The European Physical Journal E ( IF 1.8 ) Pub Date : 2020-08-14 , DOI: 10.1140/epje/i2020-11978-3
P Acharya ₁ , A W C Lau ₁

Affiliation

Abstract.

In this paper, we investigate theoretically a model of charge regulation of a single charged planar surface immersed in an aqueous electrolyte solution. Assuming that the adsorbed ions are mobile in the charged plane, we formulate a field theory of charge regulation where the numbers of adsorbed ions can be determined consistently by equating the chemical potentials of the adsorbed ions to that of the ions in the bulk. We analyze the mean-field treatment of the model for electrolyte of arbitrary valences, and then beyond, where correlation effects are systematically taken into account in a loop expansion. In particular, we compute exactly various one-loop quantities, including electrostatic potentials, ion distributions, and chemical potentials, not only for symmetric (1, 1) electrolyte but also for asymmetric (2, 1) electrolyte, and make use of these quantities to address charge regulation at the one-loop level. We find that correlation effects give rise to various phase transitions in the adsorption of ions, and present phase diagrams for (1, 1) and (2, 1) electrolytes, whose distinct behaviors suggest that charge regulation, at the one-loop level, is no longer universal but depends crucially on the valency of the ions.

Graphical abstract

中文翻译：

浸没在电解液中的表面的电荷调节。

摘要。

在本文中，我们从理论上研究了浸入电解质水溶液中的单个带电平面的电荷调节模型。假设吸附的离子在带电平面内可移动，我们制定了一种电荷调节的场论，在该理论中，可以通过将吸附离子的化学势等同于整体中离子的化学势来一致地确定吸附离子的数量。我们分析了任意价电解质模型的平均场处理，然后分析了循环扩展中系统地考虑了相关效应的情况。特别是，我们不仅针对对称（1，1）电解质而且还针对非对称（2，1）电解质精确地计算出各种单环量，包括静电势，离子分布和化学势，并利用这些数量来解决单回路的电荷调节问题。我们发现相关效应会在离子的吸附过程中引起各种相变，并给出了（1，1）和（2，1）电解质的相图，其不同的行为表明电荷调节处于单环水平，离子不再通用，而是关键取决于离子的化合价。

图形概要

更新日期：2020-08-14

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