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arXiv 1010.2840cond-mat.soft
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几何约束下的半柔性polymer链:只有体相行为而无表面吸附

A semiflexible polymer chain under geometrical restrictions: Only bulk behaviour and no surface adsorption

Pramod Kumar Mishra

摘要:

本文分析了在良溶剂条件下,线性半柔性均聚物链在两种几何约束下的二维构象行为。约束是阶梯形的不可穿透曲面。不可穿透的表面是二维空间中的线。无限长的聚合物链被限制在这两个(A和B)表面之间。当链与一个或两个约束有吸引力相互作用时,利用完全定向自回避行走的格模型计算了配分函数的精确表达式.已经发现,在所提出的模型下,链仅显示出批量行为。换句话说,由于对链的行走施加的限制,链不可能吸附。

英文摘要:

We analyse the conformational behaviour of a linear semiflexible homo-polymer chain confined by two geometrical constraints under a good solvent condition in two dimensions. The constraints are stair shaped impenetrable surfaces. The impenetrable surfaces are lines in a two dimensional space. The infinitely long polymer chain is confined in between such two (A and B) surfaces. A lattice model of a fully directed self-avoiding walk is used to calculate the exact expression of the partition function, when the chain has attractive interaction with one or both the constraints. It has been found that under the proposed model, the chain shows only a bulk behaviour. In other words, there is no possibility of adsorption of the chain due to restrictions imposed on the walks of the chain.

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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