Yang Yang, Xiang-yu Bu, Xing-hua Zhang. Structure Factor Based on the Wormlike-chain Model of Single Semiflexible Polymer. [J]. Acta Polymerica Sinica (8):1002-1010(2016)
DOI:
Yang Yang, Xiang-yu Bu, Xing-hua Zhang. Structure Factor Based on the Wormlike-chain Model of Single Semiflexible Polymer. [J]. Acta Polymerica Sinica (8):1002-1010(2016) DOI: 10.11777/j.issn1000-3304.2016.16066.
Structure Factor Based on the Wormlike-chain Model of Single Semiflexible Polymer
Wormlike chain model is one of so far the best theoretical models for the semiflexible biological polymer
liquid crystal polymer and conjugate polymer.The chain length is in the same length scale with the persistent length of semiflexible chains.In this condition
the orientation of bonds becomes important for the conformational statics and the in-extendable constraint decrease number of possible conformation of the chain.Structure factor characterizes the density correlation in different length scales
which can be obtained by both scattering experiment and theoretical computation.Generally
it is hard to compute the structure factor of wormlike chain model exactly
because it has the degrees of freedom in both positional and orientational space.This strangles the development of theory based on wormlike chain model
especially
applying Gaussian fluctuation theory on the stability analysis of ordered systems.In this review
the commonly used approximated formulations of structure factor of wormlike chain model are introduced and the development on predicting the structure factor exactly.Through analyzing the scaling relation in different wavenumber regions
the multi scale properties of wormlike chain model are well demonstrated.