Chen Zhong, Escobedo Fernando A
School of Chemical Engineering, Cornell University, Ithaca, New York, 14850-5201, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Feb;69(2 Pt 1):021802. doi: 10.1103/PhysRevE.69.021802. Epub 2004 Feb 17.
The effects of molecular topology and polymer-surface interaction on the properties of isolated polymer chains trapped in a slit were investigated using off-lattice Monte Carlo simulations. Various methods were implemented to allow efficient simulation of molecular structure, confinement force, and free energy for a chain interacting with such "sticky" surfaces. The simulations were performed in the canonical ensemble, and the free energy was sampled via virtual slit-separation moves. Six different chain architectures were studied: linear, star-branched, dendritic, cyclic, two-node (i.e., containing two tetrafunctional intramolecular crosslinks), and six-node molecules. The first three topologies entail increasing degrees of branching, and the last three topologies entail increasing degrees of intramolecular bonding. The confinement force, monomer density profile, and conformational properties for all these systems were compared (for identical molecular weight N) and analyzed as a function of adsorption strength. The compensation point where the wall attraction counterbalances the polymer-slit exclusion effects was the focus of our study. It was found that the attractive energy at the compensation point, epsilon(c), is a weak increasing function of the chain length for excluded-volume chains. The value of epsilon(c) differs significantly for different topologies, and smaller values are associated with better-adsorbing molecules. Due to their globular shape and numerous chain ends, branched molecules (e.g., stars and dendrimers) experience a relatively small entropic penalty for adsorption at low adsorption force and moderate confinement. However, as the adsorption force increases, the more flexible linear chains reach the compensation point at a weaker attractive energy because of the ease with which monomers can be packed near the walls. In moderate to weak confinement, molecules with intramolecular cross-links, such as cyclic, two-node, and six-node molecules, always adsorb better than the other chains (with the same N). Especially at strong adsorption, two-node and six node molecules are highly localized in the region near the walls. Under strong confinement conditions, chain rigidity becomes the dominating factor and the more flexible linear chain adsorbs the best at all adsorption strengths. These results provide useful insights for controlling confinement and depletion forces of polymers with different molecular architectures in the presence of attractive polymer-surface interactions.
利用非格点蒙特卡罗模拟研究了分子拓扑结构和聚合物-表面相互作用对被困在狭缝中的孤立聚合物链性质的影响。实施了各种方法,以便对与这种“粘性”表面相互作用的链的分子结构、限制力和自由能进行高效模拟。模拟在正则系综中进行,自由能通过虚拟狭缝分离移动进行采样。研究了六种不同的链结构:线性、星型支化、树枝状、环状、双节点(即包含两个四官能团分子内交联)和六节点分子。前三种拓扑结构的支化程度逐渐增加,后三种拓扑结构的分子内键合程度逐渐增加。比较了所有这些体系(对于相同的分子量N)的限制力、单体密度分布和构象性质,并作为吸附强度的函数进行分析。壁吸引力与聚合物-狭缝排斥效应相互平衡的补偿点是我们研究的重点。研究发现,对于排除体积链,补偿点处的吸引能ε(c)是链长的弱增函数。ε(c)的值因不同的拓扑结构而有显著差异,较小的值与吸附性较好的分子相关联。由于其球状形状和众多链端,支化分子(如星型和树枝状分子)在低吸附力和适度限制下吸附时经历相对较小的熵罚。然而,随着吸附力增加,由于单体能够容易地堆积在壁附近,更灵活的线性链在较弱的吸引能下达到补偿点。在中度至弱限制下,具有分子内交联的分子,如环状、双节点和六节点分子,总是比其他链(具有相同的N)吸附得更好。特别是在强吸附时,双节点和六节点分子高度定位于壁附近的区域。在强限制条件下,链刚性成为主导因素,在所有吸附强度下,更灵活的线性链吸附效果最佳。这些结果为在存在聚合物-表面吸引相互作用的情况下控制不同分子结构聚合物的限制力和耗尽力提供了有用的见解。