非对称荷电膜的静电相互作用

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摘要翻译：
根据盐浓度和表面电荷密度（它们的绝对大小不一定相等）的函数，我们预测了带电平板和平板之间静电相互作用的性质（吸引或排斥）和范围（指数屏蔽或长程幂律）。得到了吸引压力与排斥压力之间的交点随盐浓度变化的解析表达式。该条件简化为Parsegian和Gingell的高盐极限，其中相互作用呈指数屏蔽；简化为Lau和Pincus的零盐极限，其中重要的长度尺度是板间分离和Gouy-Chapman长度。在低盐和高表面电荷的情况下，我们预测--对于表面电荷的任何比率--吸引压力是长范围的，作为间距的函数。随着板间距离的减小，吸引压力与反离子浓度的降低有关。我们的理论预测了几种不同的标度公式，压力随盐度和表面电荷密度的变化。压力预测可以与通过在云母表面涂覆一种相反电荷的聚电解质制备的相反电荷表面的表面力实验有关。
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英文标题：
《Electrostatic Interactions of Asymmetrically Charged Membranes》
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作者：
Dan Ben-Yaakov, Yoram Burak, David Andelman, S. A. Safran
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

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英文摘要：
  We predict the nature (attractive or repulsive) and range (exponentially screened or long-range power law) of the electrostatic interactions of oppositely charged and planar plates as a function of the salt concentration and surface charge densities (whose absolute magnitudes are not necessarily equal). An analytical expression for the crossover between attractive and repulsive pressure is obtained as a function of the salt concentration. This condition reduces to the high-salt limit of Parsegian and Gingell where the interaction is exponentially screened and to the zero salt limit of Lau and Pincus in which the important length scales are the inter-plate separation and the Gouy-Chapman length. In the regime of low salt and high surface charges we predict - for any ratio of the charges on the surfaces - that the attractive pressure is long-ranged as a function of the spacing. The attractive pressure is related to the decrease in counter-ion concentration as the inter-plate distance is decreased. Our theory predicts several scaling regimes with different scaling expressions for the pressure as function of salinity and surface charge densities. The pressure predictions can be related to surface force experiments of oppositely charged surfaces that are prepared by coating one of the mica surfaces with an oppositely charged polyelectrolyte.
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PDF链接：
https://arxiv.org/pdf/705.0893

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关键词：相互作用 interactions interaction Exponential expressions 预测 指数 浓度 电荷 屏蔽