Bryk Paweł, Macdowell Luis G
Department for the Modeling of Physico-Chemical Processes, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.
J Chem Phys. 2008 Sep 14;129(10):104901. doi: 10.1063/1.2976339.
We study the properties of athermal polymers at hard walls using two different versions of self-consistent field theory (SCFT). We calculate the segment density profiles, center of mass profiles, bond orientation vector profiles, and end-to-end vector distributions and compare with grand canonical Monte Carlo simulations. Using the same excess free energy prescription for both theories, we investigate the role of the excluded volume intramolecular interactions on these properties, show the relation between SCFT and density functional theory, and discuss several numerical implementations of the SCFT method. The phantom chain model gives Gaussian chain statistics independent of the conditions. Including the full intramolecular potential leads to an improved description of the low density regime but it does not produce any significant improvement in the semidiluted and concentrated regimes. We show that a viable compromise is achieved by using the effective field resulting from the phantom chain model and by calculating single chain properties using the full intramolecular potential.
我们使用两种不同版本的自洽场理论(SCFT)研究硬壁条件下非热聚合物的性质。我们计算了链段密度分布、质心分布、键取向矢量分布以及端到端矢量分布,并与巨正则蒙特卡罗模拟结果进行比较。针对这两种理论采用相同的过量自由能公式,我们研究了分子内排斥体积相互作用对这些性质的作用,展示了SCFT与密度泛函理论之间的关系,并讨论了SCFT方法的几种数值实现方式。理想链模型给出与条件无关的高斯链统计结果。包含完整的分子内势会改进对低密度区域的描述,但在半稀溶液和浓溶液区域并未产生任何显著改进。我们表明,通过使用理想链模型产生的有效场并使用完整的分子内势来计算单链性质,可以实现一种可行的折衷方案。