Journal
POLYMERS
Volume 8, Issue 9, Pages -Publisher
MDPI AG
DOI: 10.3390/polym8090301
Keywords
worm-like chain model; structure factor; Gaussian fluctuation theory; random phase approximation
Categories
Funding
- National Natural Science Foundation of China (NSFC) [21304008, 21574011]
- Fundamental Research Funds for the Central Universities [2015JBM093]
- Beijing Jiaotong University
- Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund
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The worm-like chain is one of the best theoretical models of the semiflexible polymer. The structure factor, which can be obtained by scattering experiment, characterizes the density correlation in different length scales. In the present review, the numerical method to compute the static structure factor of the worm-like chain model and its general properties are demonstrated. Especially, the chain length and persistence length involved multi-scale nature of the worm-like chain model are well discussed. Using the numerical structure factor, Gaussian fluctuation theory of the worm-like chain model can be developed, which is a powerful tool to analyze the structure stability and to predict the spinodal line of the system. The microphase separation of the worm-like diblock copolymer is considered as an example to demonstrate the usage of Gaussian fluctuation theory.
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