Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory
Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory
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DOI：
10.1021/ma8003482
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发表时间：
2008-06
期刊：
影响因子：
5.5
通讯作者：
Xingkun Man;Shuang Yang;Dadong Yan;A. Shi
中科院分区：
文献类型：
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作者：
Xingkun Man;Shuang Yang;Dadong Yan;A. Shi
用自洽场理论研究了柔性聚电解质在均匀带相反电荷圆柱表面的吸附。重点研究了吸附表面的曲率对吸附-耗尽相变行为的影响。SCFT函数的数值解。根据临界量的标度表达式（Csalt pασβ），即，在吸附-耗尽转变点处的盐浓度Csalt ε，PE链的电荷分数p和表面电荷的面密度σ，我们将整个曲率维度分为两个区域，即，平面区域和圆柱区域。特别地，我们已经数值确定了两个区域的交叉点，在该交叉点处，圆柱半径r 0近似等于PE链的回转半径Rg的2倍，或r 0 <$2Rg。在平面区域（r 0> 2 Rg）中，尺度表达式不随表面曲率而变化，并且被简化为平面情况，或Csalt_（pσ）2/3。In th.
Self-consistent field theory (SCFT) is presented to study the adsorption of flexible polyelectrolytes (PE) onto uniformly oppositely charged cylinders. We focus on the curvature effect of adsorbing surface on the adsorption−depletion phase-transition-like behavior. Numerical solutions for SCFT functions are derived. In terms of the scaling expression (Csalt∗ ∼ pασβ) of the critical quantities, i.e., the salt concentration Csalt∗, the charge fraction p of PE chain and the area density of surface charge σ, at the adsorption−depletion transition point, we divide the whole curvature dimension into two regimes, i.e., the planar regime and the cylindrical regime. In particular, we have numerically determined the crossover point of the two regimes at which the cylinder radius r0 approximately equates to 2 times the gyration radius Rg of PE chain, or, r0 ∼ 2Rg. In the planar regime (r0 > 2Rg), the scaling expression is invariable with surface curvature and is reduced to the planar case, or Csalt∗ ∼ (pσ)2/3. In th...