关联诱导电荷反转引起的大离子非单调膨胀
Non-monotonic swelling of a macroion due to correlation-induced charge inversion
摘要:
已知浸入多价抗衡离子溶液中的大的带电体可在抗衡离子吸附到其表面时经历电荷反转。我们使用电荷反转理论来研究的情况下,一个可变形的,多孔的宏离子,它可以吸附到它的散装多价离子,形成一个三维强相关液体。当多价离子加入溶液中时,这种吸附可能导致大离子尺寸的非单调变化。当大离子的裸电荷被屏蔽时,大离子首先收缩,然后当吸附的离子反转净电荷的符号时,大离子重新膨胀。我们推导出一个值的外向压力所经历的这样一个macroion作为在溶液中的离子浓度的函数。我们发现,对于多价离子的浓度远离中性点(身体的净电荷为零)的小偏差,膨胀的大小与多价离子浓度的对数的比率在中性点的浓度呈抛物线增长。
英文摘要:
It is known that a large, charged body immersed in a solution of multivalent counterions may undergo charge inversion as the counterions adsorb to its surface. We use the theory of charge inversion to examine the case of a deformable, porous macroion which may adsorb multivalent ions into its bulk to form a three-dimensional strongly-correlated liquid. This adsorption may lead to non-monotonic changes in the size of the macroion as multivalent ions are added to the solution. The macroion first shrinks as its bare charge is screened and then reswells as the adsorbed ions invert the sign of the net charge. We derive a value for the outward pressure experienced by such a macroion as a function of the ion concentration in solution. We find that for small deviations in the concentration of multivalent ions away from the neutral point (where the net charge of the body is zero), the swollen size grows parabolically with the logarithm of the ratio of multivalent ion concentration to the concentration at the neutral point.
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