论文标题
可扩展离散虫状链模型的弹性特征
Elastic traits of the extensible discrete wormlike chain model
论文作者
论文摘要
聚合物模型在阐明描述长分子物理学的基本特征方面发挥了特殊作用，并且对于解释其幅度的测量至关重要。在这项工作中，在数值和分析上都计算了可扩展的离散蠕虫样链聚合物作为施加力的函数的端到端距离，后者是有效的近似值。数值评估使用转移矩阵形式主义来获得分区函数的精确计算，而分析推导则概括了简单的现象学公式，大部分时间都在很大程度上使用。所获得的公式足够简单，可以在半燃灵伸展聚合物的实验数据中实现，从而使所获得的弹性参数与先前的测量值兼容，并且其准确性在较大的链条扩展性范围内强烈提高。
Polymer models play the special role of elucidating the elementary features describing the physics of long molecules and become essential to interpret the measurements of their magnitudes. In this work the end-to-end distance of an extensible discrete worm-like chain polymer as a function of the applied force has been calculated both numerically and analytically, the latter as an effective approximation. The numerical evaluation uses the Transfer Matrix formalism to obtain an exact calculation of the partition function, while the analytic derivations generalize the simple phenomenological formulas largely used up to now. The obtained formulas are simple enough to be implemented in the fit analysis of experimental data of semi-flexible extensible polymers, with the result that the elastic parameters obtained are compatible with previous measurements, and more, their accuracy strongly improves in a large range of chain extensibility.
