Random copolymer adsorption onto a periodic heterogeneous surface: A partially directed walk model,Physical Review E

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Random copolymer adsorption onto a periodic heterogeneous surface: A partially directed walk model
Physical Review E ( IF 2.2 ) Pub Date : 2022-09-21 , DOI: 10.1103/physreve.106.034501
Anna S Ivanova ₁ , Alexey A Polotsky ₁

Affiliation

The adsorption of a single

AB

random copolymer (RC) chain onto an inhomogeneous

a b

surface with a regular periodic pattern is studied theoretically. The problem is considered within the simplest model of a partially directed random walk in two dimensions by using the method of generating functions and the annealed approximation for the averaging over disorder in the RC sequence. The existence of the “optimal” RC composition and the degree of correlation in the monomer sequence, at which the inverse transition temperature has a local minimum, is shown. This is characteristic for symmetric and weakly asymmetric surfaces, whereas for surfaces with pronounced asymmetry there is no such local minimum. The best adsorbate for a strongly asymmetric surface is the homopolymer composed of monomer units that are complimentary to the majority sites on the surface. The results for the adsorption transition point obtained in the annealed approximation are compared with the numerical results for random-periodic

A B

-copolymers with a long period being a quenched random sequence of

A

and

B

units. The comparison shows that the annealed approximation provides a very good quantitative estimate of the adsorption transition point.

中文翻译：

无规共聚物在周期性异质表面上的吸附：部分定向游走模型

单次吸附

AB

不均匀的无规共聚物 (RC) 链

一个 b

理论上研究了具有规则周期性图案的表面。该问题是在最简单的二维部分定向随机游走模型中考虑的，通过使用生成函数的方法和对 RC 序列中的无序进行平均的退火近似。显示了“最佳” RC 组成的存在以及单体序列中的相关程度，其中逆转变温度具有局部最小值。这是对称和弱不对称表面的特征，而对于具有明显不对称性的表面，没有这样的局部最小值。强不对称表面的最佳吸附物是由与表面上的大多数位点互补的单体单元组成的均聚物。