Directed walk model of random copolymer adsorption onto random surface
Directed walk model of random copolymer adsorption onto random surface
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无规共聚物吸附到无规表面的定向行走模型
DOI：
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发表时间：
2012
期刊：
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通讯作者：
A. Polotsky
中科院分区：
文献类型：
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作者：
A. Polotsky
利用聚合物的二维部分定向行走模型研究了（AB）随机共聚物（RC）在（AB）随机非均相表面（RS）上的吸附，其中RC和RS都具有相关性。该问题的解决方法是将聚合物平均退火近似和表面随机性与生成函数（GFs）方法相结合。导出了求吸附RC链GF最小奇异点的紧凑行列式方程。对于所选的单位点相互作用参数集，计算了吸附转变逆温度对RC和RS相关参数的依赖关系。我们分析了RC和RS的相关性相互作用对转变温度的影响，观察并讨论了伯努利（不相关）RC（或RS）对其“吸附伙伴”相关性不敏感的影响。得到了规则交变共聚物在规则交变表面吸附的精确解。
Adsorption of an (AB) random copolymer (RC) onto an (ab) random heterogeneous surface (RS), where both the RC and the RS have correlations, is studied using a two-dimensional partially directed walk model of the polymer. The problem is solved by using a combination of the annealed approximation for averaging over polymer and surface randomness with the generating functions (GFs) approach. A compact determinant equation for finding the smallest singularity of the GF of the adsorbed RC chain is derived. Dependences of inverse temperature of the adsorption transition on the RC and the RS correlation parameters are calculated for the chosen sets of monomer–site interaction parameters. We analyze the influence of interplay between correlations in the RC and the RS on the transition temperature, observe and discuss the effect of insensitivity of Bernoullian (uncorrelated) RC (or RS) to correlations in its ‘adsorption partner’. An exact solution for the regular alternating copolymer adsorption onto the regular alternating surface is obtained.