中文摘要：

应用标度理论研究了外加的高价反离子对柱状聚电解质刷的影响.以外加盐浓度的不同,在单价盐情况下,强和弱聚电解质刷分别有2个和3个标度区域,而在高价盐情况下,柱状聚电解质刷的行为可分为4个区域.第一个区域,盐浓度很低,刷的行为不依赖于外加盐浓度.第二个区域,外加盐浓度对刷的行为开始有影响,刷的厚度随外加盐浓度增大而减小.第三个区域,强聚电解质刷厚度不依赖于外加盐浓度,而弱聚电解质刷厚度反而随外加盐浓度增大而升高.第四个区域,聚电解质刷厚度随外加盐浓度升高而降低,行为类似单价盐情形下的盐刷.这些区域都是链熵弹性与小离子渗透压平衡造成的,与单价和高价反离子在刷内的交换密切相关.新发现的区域尚待实验和计算机模拟的验证.

英文摘要：

A scaling theory is presented to analyze the effects of the added multivalent counterions on properties of cylindrical polyelectrolyte brushes. The theory demonstrates four possible regimes for the behavior of the brushes, while there are only two regimes for the quenched brushes and three for the annealed brushes with monovalent counterions. In the first regime, the salt concentration is too low to have effects on the brushes. In the next regime, the brush thickness decreases with the increase of the concentration of the added salt. The thickness of quenched polyelectrolyte brushes is independent of the salt concentration in the third regime,while the annealed polyelectrolyte brushes swell with the increase of the salt concentration in the regime and depend on the counterion valence. In the last regime, the brush with added multivalent counterions behaves as the brush with monovalent salt does. These regimes are consequences of the balance of the entropic elasticity of the grafted chains and the osmotic pressure of the mobile ions. The regimes are connected with the exchange of the monovalent and the multivalent counterions in the brush. The boundaries between the neighbour regimes are also discussed. The new findings wait for experiment and computer simulation testing.