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arXiv 1503.02724cond-mat.soft
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分离压力的标度律揭示了聚合物流体的二维结构

Scaling law of the disjoining pressure reveals two dimensional structure of polymeric fluids

Armando Gama Goicochea, Elías Pérez

摘要:

本文首次提出了强约束聚合物流体分离压力的标度关系式,它直接给出了聚合物回转半径的标度指数nu。为了测试所提出的比例关系,我们进行了广泛的粒子为基础的,粗粒度的计算机模拟的聚合物限制在θ溶剂条件下,发现的值与严格的二维链的预期值,nu = 4/7,这指向我们的比例关系的基本正确性同意。提出了新的实验方法来检验这一标度律。这项工作开辟了寻找其他标度指数,可能揭示新的物理制度,它构成了一个有效的路线,以确定nu,因为标度指数可以得到一个单一的聚合度的链,通过简单地减少之间的距离限制板。

英文摘要:

A scaling relation for the disjoining pressure of strongly confined polymer fluids is proposed for the first time, which yields directly the scaling exponent, nu, of the radius of gyration for polymers. To test the proposed scaling relation we performed extensive particle based, coarse grained computer simulations of polymers confined under theta solvent conditions and found that the value of nu agrees with the expected value for strictly two dimensional chains, nu = 4/7, which points towards the essential correctness of our scaling relation. New approaches are suggested for experimental tests of this scaling law. This work opens up the way to look for other scaling exponents that may reveal new physical regimes and it constitutes an efficient route to determine nu because the scaling exponent can be obtained with chains of a single polymerization degree by simply reducing the distance between the confining plates.

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