论文标题

结构液介质的现场理论

Field theory of structured liquid dielectrics

论文作者

Blossey, Ralf, Podgornik, Rudolf

论文摘要

我们开发了一种现场理论方法来治疗结构化液体介电的非本地性和非线性反应。我们感兴趣的系统由偶极溶剂分子以及简单的盐阳离子和阴离子组成。我们通过两个独立的阶参数来描述它们,即溶剂的极化场和离子的电荷密度场,包括并明确,一致地处理相互作用的非电压部分。我们展示了如何得出越来越细的尺度的极化和静电场的功能,并求解了线性状态下所得的平均场鞍点方程。我们得出依赖于结构长度和溶剂的极性的溶液特征的标准。我们的方法提供了一种系统的方法来得出广义极化理论。

We develop of a field-theoretic approach for the treatment of both the non-local and the non-linear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and anions. We describe them by two independent order parameters, the polarization field for the solvent and the charge density field for the ions, including and treating the non-electrostatic part of the interactions explicitly and consistently. We show how to derive functionals for the polarization and the electrostatic field of increasingly finer scales and solve the resulting mean-field saddle-point equations in the linear regime. We derive criteria for the character of their solutions that depend on the structural lengths and the polarity of the solvent. Our approach provides a systematic way to derive generalized polarization theories.

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