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arXiv 1010.2844cond-mat.soft
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几何约束对Polymer链构象性质的影响

Effect of Geometrical Constraint on Conformational Properties of a Polymer Chain

Pramod Kumar Mishra

摘要:

本文分析了在良溶剂条件下,几何约束对受限于两个约束之间的无限长线性半柔性高分子链的二维构象性质的影响。约束条件是两个不可穿透的阶梯形曲面,对于二维空间,曲面是一维直线。通过引入链中每一圈所需弯曲能的Boltzmann权重来解释链的半柔性,并通过使用链的自避免行走模型来解释链的良好溶剂条件。我们已经计算出精确的临界值的步骤逸度聚合所需的一个无限长的聚合物链之间的约束约束限制为不同的值之间的分离的约束定向版本的模型。我们还计算了可能的最大值,最小值的持久长度为这样的链和最大值的弯曲能量所需的链中的每一个转折之间的限制分离的几个值。

英文摘要:

In this paper, we analyze the effect of geometrical constraint on the conformational properties of an infinitely long linear semiflexible polymer chain confined in-between two constraints under good solvent condition in two dimensions. The constraints are two impenetrable stair shaped surface and for two dimensional space, the surface is a one dimensional line. The semiflexibility of the chain is accounted by introducing a Boltzmann weight of bending energy required to produce each turn in the chain and good solvent condition was accounted by using self avoiding walk model of the chain. We have calculated exact critical value of step fugacity required for polymerization of an infinitely long polymer chain confined in between the constraints for different values of separation between the constraints for directed version of the model. We have also calculated possible maximum, minimum values of the persistent length for such chains and the maximum value of bending energy required for each turn in the chain for few values of separation between the constraints.

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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