A New Scaling Theory of Semiflexible Polymer Phases Near Attracting Surfaces

D. V. Kuznetsov, W. Sung
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引用次数: 2

Abstract

The finite chain backbone stiffness in polymers gives rise to a number of novel behaviors described on short length scales. We analyze the semiflexible polymer phases near surfaces using a new scaling theory, incorporating the surface attraction in terms of its range and depth. It is found that the phase diagram includes five different phases: desorbed, weakly- adsorbed with both isotropic and nematic-type distribution of polymer segments inside the potential well, strongly-adsorbed states with the isotropic and nematic-type distribution. We draw conclusions on the orders of the transitions between the phases. The stiffness of polymer chain backbone means the presence of an orientation "memory" be- tween segments along the chain. A rigid rod is the very stiff polymer, for which the persistence length is much larger than the total contour length. This polymer can not be crumpled without breakage. On the other hand a very flexible chain can be crumpled practically on any length scales. It can be crumpled as a whole (as in so-called globule-to-coil transition iii and in the ideal limit it can be crumpled on smaller and smaller length scales (down to the microscopic scales of chain diameter order), carrying a self-similar or fractal structure. For the intermediate cases of semiflexible chain, which are probably the most interesting for applications including biophysical problems, the persistence length is much smaller than the total polymer contour length, so it can be crumpled as a whole in a similar way as a flexible chain. In general, we can treat a semiflexible polymer chain as a flexible one, when we are interested in the universal macroscopic polymer properties measured over the scales of whole macromolecule dimensions. But on the scales smaller than the persistence length the semiflexible structure can be con- sidered as an array of rigid rods interconnected at a fixed angle. (Naturally, the semiflexible wormlike chain can be viewed as the continuous limit of the discrete model iii.) Therefore, on these scales already, semiflexible polymer can not be crumpled without breakage and its properties are essentially different from those of flexible polymer. A wide class of synthetic and
吸引表面附近半柔性聚合物相的一种新的标度理论
有限链的骨干刚度在聚合物引起了一些新的行为描述在短长度尺度。我们用一种新的标度理论分析了表面附近的半柔性聚合物相,并考虑了表面吸引力的范围和深度。发现相图包括五种不同的相:解吸相、弱吸附相(聚合物段在势阱内各向同性和向列型分布)和强吸附相(聚合物段在势阱内各向同性和向列型分布)。我们得出了相间跃迁的顺序的结论。聚合物链主链的刚度意味着链上各节段之间存在定向“记忆”。刚性棒是一种非常坚硬的聚合物,其持续长度远远大于总轮廓长度。这种聚合物一揉就会破裂。另一方面,一个非常柔韧的链条几乎可以在任何长度尺度上被揉皱。它可以作为一个整体被卷曲(就像在所谓的小球到线圈的转变iii中一样),在理想的极限下,它可以在越来越小的长度尺度上被卷曲(小到链直径顺序的微观尺度),携带一种自相似或分形结构。对于半柔性链的中间情况,这可能是包括生物物理问题在内的应用中最有趣的,其持续长度远小于聚合物的总轮廓长度,因此它可以像柔性链一样作为一个整体被卷曲。一般来说,当我们感兴趣的是在整个大分子尺度上测量聚合物的宏观性质时,我们可以将半柔性聚合物链视为柔性聚合物链。但在小于持续长度的尺度上,半柔性结构可以看作是一组以固定角度相互连接的刚性杆。(当然,半柔性虫状链可以看作是离散模型iii的连续极限。)因此,在这些尺度上,半柔性聚合物已经不能被揉皱而不破裂,其性能与柔性聚合物本质上是不同的。一大类合成的和
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