Dumbbell kinetic theory for polymers in a combination of flow and external electric field
Dumbbell kinetic theory for polymers in a combination of flow and external electric field
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流动和外部电场组合下聚合物的哑铃动力学理论
DOI：
10.1103/physreve.100.052501
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发表时间：
2019
影响因子：
2.4
通讯作者：
Underhill, Patrick T.
中科院分区：
文献类型：
--
作者：
Setaro, Angelo C.;Underhill, Patrick T.
泊泽维尔流与外加电场相结合是毛细管电泳中驱动横向迁移的一种有效方法。尽管进行了计算和实验研究，但关于如何在这些条件下最好地模拟聚合物的许多问题仍然存在。人们曾试图为一个珠子弹簧哑铃模型建立一个动力学理论，但这些理论只在低电场强度下是准确的，并且没有捕捉到迁移和电场强度之间的非单调关系。在本文中，我们回顾了在抛物流和外电场的结合下，珠簧哑铃的动力学理论的发展。由此产生的理论得出了一个紧凑的公式，该公式预测聚合物浓度分布与我们的布朗动力学模拟非常吻合，包括上述非单调关系。此外，我们将理论结果与实验数据进行了比较，发现我们的模型几乎定量地预测了最大迁移的位置。
Combining Poiseuille flow with an external electric field is a demonstrated method to drive transverse migration in capillary electrophoresis. Despite both computational and experimental studies, a number of questions about how to best model polymers under these conditions remains. Attempts have been made to develop a kinetic theory for a bead-spring dumbbell model, but these have only been accurate at low electric field strength and have not captured the nonmonotonic relationship between migration and electric field strength. In this paper, we revisit the development of a kinetic theory for a bead-spring dumbbell in a combination of parabolic flow and an external electric field. The resultant theory yields a compact formula that predicts polymer concentration profiles that agree excellently with our Brownian dynamics simulations including the aforementioned nonmonotonic relationship. Furthermore, we compare our theoretical results to experimental data and find that our model nearly quantitatively predicts the position of the maximum in migration.