带电纳米孔中聚电解质溶液的介电失配效应：来自平均场理论的洞见
Dielectric mismatch effects on polyelectrolyte solutions in electrified nanopores: Insights from mean-field theory
AI总结：
本研究基于自洽场理论与诺特定理构建理论框架，探究介电失配对带电纳米孔内聚电解质溶液双电层分离压和微分电容的影响，为电化学相关应用提供理论参考。
摘要：
我们利用自洽场理论探究浸没在聚电解质溶液中的带电表面的力学与电学性质，该研究在电化学领域具有潜在应用价值。本研究聚焦于溶液的介电异质性如何影响双电层的分离压和微分电容。基于诺特定理（Noether's theorem），我们依托所构建的理论框架计算了包含聚合物链构象熵项的应力张量。借助该应力张量，我们计算了受限在两个平行带电表面之间的聚电解质溶液的分离压，并分析了不同介电失配参数下，分离压随表面间距变化的行为规律。我们还计算了双电层的微分电容，并探讨了聚电解质溶液的介电异质性对其数值的影响。
英文摘要：
We utilize the self-consistent field theory to explore the mechanical and electrical properties of charged surfaces immersed in polyelectrolyte solutions that could be potentially useful for electrochemical applications. Our research focuses on how the dielectric heterogeneity of the solution could affect the disjoining pressure and differential capacitance of the electric double layer. Relying on the developed theoretical framework, based on the Noether's theorem, we calculate the stress tensor, containing the term, arising from the conformational entropy of the polymer chains. With its help we compute the disjoining pressure in polyelectrolyte solution confined between two parallel charged surfaces and analyze its behavior as a function of separation between the surfaces for different values of dielectric mismatch parameter. We also calculate the differential capacitance of the electric double layer and discuss how dielectric heterogeneity of the polyelectrolyte solution influences its values.
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