拓扑结构如何塑造聚电解质的相行为
How Topology Shapes the Phase Behavior of Polyelectrolytes
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中文总结 AI 辅助
研究聚电解质凝聚，用随机相位近似理论，发现更紧凑链拓扑结构更易相分离，不同拓扑聚合物混合能驱动多相凝聚，拓扑驱动相分离倾向在有限分子量时最大，确立聚合物拓扑为调节带电大分子相图的有力手段。
中文摘要 AI 辅助
我们使用随机相位近似发展了一种聚电解质凝聚的拓扑特定理论，并将其应用于简单凝聚和复杂凝聚。对于星型和树枝状聚合物的结果表明，更紧凑的链拓扑结构表现出更大的液 - 液相分离倾向，这是 Bjerrum 长度和盐浓度的函数。对于不同拓扑结构的混合物，我们证明仅聚合物拓扑结构的差异就足以驱动聚电解质的多相凝聚，我们用有效χ参数对其进行了合理化解释。对简化全局相图的分析表明，这种拓扑驱动的相分离倾向在有限分子量时最大。总体而言，我们的结果确立了聚合物拓扑结构作为调节带电大分子相图的有力设计手段，可独立于分子量、净电荷和单体化学性质，因为拓扑结构的变化能够在不改变这些分子特征的情况下微调有效电荷密度。
英文摘要
We develop a topology-specific theory of polyelectrolyte coacervation using the random phase approximation and apply it to both simple and complex coacervation. Our results for stars and dendrimers show that more compact chain topologies display a greater propensity for liquid-liquid phase separation, as a function of both Bjerrum length and salt concentration. For mixtures of different topologies, we demonstrate that differences in polymer topology alone are sufficient to drive multiphase coacervation of polyelectrolytes, which we rationalize in terms of an effective $χ$ parameter. Analysis of a simplified global phase diagram reveals that the propensity for such topology-driven phase separation is largest at a finite molecular weight. Overall, our results establish polymer topology as a powerful design lever for tuning the phase diagram of charged macromolecules independently of molecular weight, net charge, and monomer chemistry, since changes in topology enable fine-tuning of the effective charge density without altering these molecular characteristics.
