Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany.
J Chem Phys. 2010 Oct 7;133(13):134902. doi: 10.1063/1.3495478.
The adsorption of a bottle-brush polymer end-grafted with one chain end of its backbone to a flat substrate surface is studied by Monte Carlo simulation of a coarse-grained model, that previously has been characterized in the bulk, assuming a dilute solution under good solvent conditions. Applying the bond fluctuation model on the simple cubic lattice, we vary the backbone chain length N(b) from N(b)=67 to N(b)=259 effective monomeric units, the side chain length N from N=6 to N=48, and set the grafting density to σ=1, i.e., parameters that correspond well to the experimentally accessible range. When the adsorption energy strength ɛ is varied, we find that the adsorption transition (which becomes well-defined in the limit N(b)→∞, for arbitrary finite N) roughly occurs at the same value ɛ(c) as for ordinary linear chains (N=0), at least within our statistical errors. Mean square end-to-end distances and gyration radii of the side chains are obtained, as well as the monomer density profile in the direction perpendicular to the adsorbing surface. We show that for longer side chains the adsorption of bottle-brushes is a two-step process, the decrease of the perpendicular linear dimension of side chains with adsorption energy strength can even be nonmonotonic. Also, the behavior of the static structure factor S(q) is analyzed, evidence for a quasi-two-dimensional scaling is presented, and consequences for the interpretation of experiments are discussed.
通过对粗粒度模型的蒙特卡罗模拟,研究了一种支化聚合物的末端通过其主链的一个末端接枝到平面基底表面的吸附,该模型之前在本体中进行了表征,假设在良好溶剂条件下处于稀溶液中。在简单立方晶格上应用键波动模型,我们将主链链长 N(b)从 N(b)=67 变化到 N(b)=259 个有效单体单元,侧链长度 N 从 N=6 变化到 N=48,并将接枝密度设置为 σ=1,即与实验可及范围相对应的参数。当吸附能强度 ɛ变化时,我们发现吸附转变(在 N(b)→∞的极限下变得明确定义,对于任意有限的 N)大致发生在与普通线性链(N=0)相同的值 ɛ(c),至少在我们的统计误差范围内是这样。得到了侧链的均方末端到末端距离和回转半径,以及垂直于吸附表面的方向上的单体密度分布。我们表明,对于较长的侧链,支化刷的吸附是一个两步过程,侧链垂直线性尺寸随吸附能强度的降低甚至可以是非单调的。此外,还分析了静态结构因子 S(q)的行为,提出了准二维标度的证据,并讨论了其对实验解释的影响。