The Poisson Equation and Polarization Charge Density in the Concentration Gradient of a Diffusing Electrolyte

IF 2.9 3区化学 Q3 CHEMISTRY, PHYSICAL

Physical Chemistry Chemical Physics Pub Date : 2025-05-29 DOI:10.1039/d5cp00787a

Gerald S. Manning

引用次数: 0

Abstract

The effect of a polarizable medium on the Poisson equation of electrostatics is usually expressed by multiplying the vacuum permittivity with a dimensionless factor called the dielectric constant. A more fundamental form of the Poisson equation, however, supplements the free charge density with a polarization charge. In the concentration gradient of a diffusing electrolyte the electroneutrality principle requires zero free charge density. The source of the electric field of a diffusing electrolyte is the charge density due to polarization of the ion distribution. The polarization charge density is proportional to the difference between the mobilities of the constituent ions and to the divergence of the gradient of the logarithm of electrolyte concentration.

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扩散电解质浓度梯度中的泊松方程和极化电荷密度

极化介质对泊松静电方程的影响通常用真空介电常数乘以称为介电常数的无量纲因子来表示。然而，泊松方程的一种更基本的形式是用极化电荷来补充自由电荷密度。在扩散电解质的浓度梯度中，电中性原理要求自由电荷密度为零。扩散电解质的电场来源是离子分布极化引起的电荷密度。极化电荷密度与组成离子的迁移率之差和电解质浓度对数梯度的散度成正比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Chemistry Chemical Physics 化学-物理：原子、分子和化学物理

CiteScore

5.50

自引率

9.10%

发文量

2675

审稿时长

2.0 months

期刊介绍： Physical Chemistry Chemical Physics (PCCP) is an international journal co-owned by 19 physical chemistry and physics societies from around the world. This journal publishes original, cutting-edge research in physical chemistry, chemical physics and biophysical chemistry. To be suitable for publication in PCCP, articles must include significant innovation and/or insight into physical chemistry; this is the most important criterion that reviewers and Editors will judge against when evaluating submissions. The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes spectroscopy, dynamics, kinetics, statistical mechanics, thermodynamics, electrochemistry, catalysis, surface science, quantum mechanics, quantum computing and machine learning. Interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, energy, surfaces/interfaces, and biophysical chemistry are welcomed if they demonstrate significant innovation and/or insight into physical chemistry. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.