可扩展离散蠕虫链模型的弹性性质
Elastic traits of the extensible discrete wormlike chain model
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着特殊作用，并且对于解释其大小的测量至关重要。在这项工作中，可扩展的离散蠕虫状链聚合物的端到端的距离作为所施加的力的函数已计算的数值和解析，后者作为一个有效的近似。数值计算使用的传递矩阵的形式主义，以获得一个精确的计算的配分函数，而分析推导概括了简单的唯象公式，主要使用到现在。所得公式简单，可用于半柔性可伸展聚合物实验数据的拟合分析，所得弹性参数与前人测量值一致，且在较大的链伸展度范围内，其精度大大提高。
英文摘要：
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.
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