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APS -APS March Meeting 2017 - Event - Electrostatic Correlations and the Polyelectrolyte Self Energy

机译:APS -APS 2017年3月会议-活动-静电相关性和聚电解质自能

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We address the effects of chain connectivity on electrostatic fluctuations in polyelectrolyte (PE) solutions using a field-theoretic, renormalized Gaussian fluctuation (RGF) theory. As in simple electrolyte solutions (Z.-G. Wang, Phys. Rev. E. {f 81}, 021501 (2010)), the RGF provides a unified theory for electrostatic fluctuations, accounting for both dielectric and charge correlation effects in terms of the self-energy. Unlike simple ions, the PE self energy depends intimately on the chain conformation, and our theory naturally provides a self-consistent determination of the response of intramolecular chain structure to PE and salt concentrations. The theory captures the expected scaling behavior of chain size from the dilute to semi-dilute regimes; by properly accounting for chain structure the theory provides improved estimates of the self energy in dilute solution and correctly predicts the eventual $N$-insensitivity of the critical temperature and concentration of salt-free solutions of flexible PE. We show that the self energy can be interpreted in terms of an infinite-dilution energy $mu^ext{el}_{m,0}$ and a finite concentration correlation correction $mu^ext{corr}$ which tends to cancel out the former with increasing concentration.
机译:我们使用场论,重新归一化的高斯涨落(RGF)理论来解决链连接性对聚电解质(PE)解决方案中的静电涨落的影响。就像在简单的电解质溶液中一样(Z.-G. Wang,Phys。Rev. E. {f 81},021501(2010)),RGF为静电波动提供了统一的理论,考虑了介电和电荷相关效应自我能量。与简单离子不同,PE的自能直接取决于链的构象,我们的理论自然地提供了分子内链结构对PE和盐浓度响应的自洽确定。该理论捕获了从稀薄到半稀薄状态下链大小的预期缩放行为。通过适当地考虑链结构,该理论提供了对稀溶液中自能量的改进估计,并正确预测了挠性PE的临界温度和无盐溶液的浓度最终对N $-不敏感。我们表明,可以用无限稀释能量$ mu ^ ext {el} _ {m,0} $和有限浓度相关校正$ mu ^ ext {corr} $来解释自能量,该趋势倾向于抵消前者越来越集中。

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