Podgornik R, Hopkins J, Parsegian V A, Muthukumar M
Department of Physics, University of Massachusetts, Amherst MA 01003, USA ; Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, and Department of Theoretical Physics, J. Stefan Institute, 1000 Ljubljana, Slovenia.
Macromolecules. 2012 Nov 13;45(21):8921-8928. doi: 10.1021/ma3017508. Epub 2012 Oct 19.
We investigate polymer partitioning from polymer mixtures into nanometer size cavities by formulating an equation of state for a binary polymer mixture assuming that only one (smaller) of the two polymer components can penetrate the cavity. Deriving the partitioning equilibrium equations and solving them numerically allows us to introduce the concept of "polymers-pushing-polymers" for the action of non-penetrating polymers on the partitioning of the penetrating polymers. Polymer partitioning into a pore even within a very simple model of a binary polymer mixture is shown to depend in a complicated way on the composition of the polymer mixture and/or the pore-penetration penalty. This can lead to enhanced as well as diminished partitioning, due to two separate energy scales that we analyse in detail.
我们通过推导二元聚合物混合物的状态方程来研究聚合物从聚合物混合物中进入纳米尺寸孔洞的分配情况,该方程假设两种聚合物组分中只有一种(较小的)能够穿透孔洞。推导分配平衡方程并进行数值求解,使我们能够引入“聚合物推动聚合物”的概念,用于描述非穿透性聚合物对穿透性聚合物分配的作用。结果表明,即使在二元聚合物混合物的非常简单的模型中,聚合物向孔隙中的分配也以复杂的方式依赖于聚合物混合物的组成和/或孔隙穿透罚分。由于我们详细分析的两个独立的能量尺度,这可能导致分配增强以及减弱。