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arXiv 1209.5002cond-mat.softphysics.chem-ph
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polymer链在结构化表面上的吸附:场论方法

Adsorption of polymer chains on structured surface: field theoretical approach

Zoryana Usatenko

摘要:

考虑到场论O(n)-矢量模型在$n\to 0$极限下与长柔性高分子链在良溶剂中的行为之间的一致性,研究了理想高分子链在结构化表面上的吸附行为,如化学步骤(表面的一部分对聚合物排斥,另一部分处于吸附阈值).在具有不同吸附能$c_{1}$和$c_{2}$(含$c_{1}\neq c_{2}$)的半空间中,得到了理想高分子链的两点关联函数和模型自由传播子的“最接近形式”.此外,还计算了当理想高分子链的另一端固定在结构表面上时,具有自由端的理想高分子链对结构表面的作用力。所得到的结果表明,均聚物吸附到结构化表面的过程中应描述不同的标度律比普遍的标度律在文献中预测的均聚物吸附在均匀的表面。

英文摘要:

Taking into account the well known correspondence between the field theoretical O(n)-vector model in the limit $n\to 0$ and the behavior of long-flexible polymer chains in a good solvent the investigation of ideal polymer chains adsorption onto structured surface like as a chemical step (where one part of a surface is repulsive for polymers and other part is at the adsorption threshold) was performed. The two-point correlation function of ideal polymer chain in the half - space bounded by structured surface with different adsorption energies $c_{1}$ and $c_{2}$ (with $c_{1}\neq c_{2}$) and the "closest form" for the free propagator of the model were obtained in analytical form. Besides, the force which ideal polymer chain with free end exerts on the structured surface, when the other end is fixed at the surface, was calculated. The obtained results indicate that the process of homopolymer adsorption onto structured surfaces should be described by different scaling laws than universal scaling laws predicted in the literature for homopolymer adsorption on homogeneous surfaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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