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Adsorption and depletion of polyelectrolytes from charged surfaces

机译:电荷从带电表面吸附和耗尽

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Mean-field theory and scaling arguments are presented to model polyelectrolyte adsorption from semidilute solutions onto charged surfaces. Using numerical solutions of the mean-field equations, we show that adsorption exists only for highly charged polyelectrolytes in low salt solutions.Simple scaling laws for the width of the adsorbed layer and amount of adsorbed polyelectrolyte are obtained. In other situations the polyelectrolyte chains will deplete from the surface. For fixed surface potential conditions, the salt concentration at the absorption-depletion crossover scales as the product of the charged fraction of the polyelectrolyte f and the surface potential, while for a fixed surface charge density, sigma, it scales as sigma~(2/3)f~(2/3), in agreementwith single-chain results.
机译:提出了均值场理论和定标参数,以模拟聚电解质从半稀溶液到带电表面的吸附。利用平均场方程的数值解,我们表明仅在低盐溶液中存在高电荷聚电解质的吸附,获得了吸附层宽度和吸附聚电解质量的简单比例定律。在其他情况下,聚电解质链将从表面耗尽。对于固定的表面电势条件,吸收损耗交叉处的盐浓度与聚电解质f的带电分数和表面电势的乘积成比例关系,而对于固定的表面电荷密度sigma,其成比例为σ〜(2 / 3)f〜(2/3),与单链结果一致。

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