title: The study of the structure factor of a wormlike chain in an orientational external field.
abstract: A precise representation of the structure factor of a wormlike chain for the arbitrary chain flexibility in an orientational external field is obtained by virtue of the numerical solution to the modified diffusion equation satisfied by the Green's function. The model is built from a standard wormlike chain formalism in a continuous version which crossovers from the rigid-rod limit to the flexible chain limit and the Maier-Saupe interaction which describes the orientational effects from the nematic field. The behaviors of the structure factor in the distinct wavevector k regimes are numerically investigated as functions of chain flexibility and tilt angle between the directors of the nematic field and k. The radius of gyration extracted from the structure factor in small-k regime is also carefully analysed in both the directions along and perpendicular to the nematic axis. Our calculations exactly recover the prediction of the structure factor undergoing an orientational field in the rigid rod limit.
authors.affiliation: School of Chemistry and Environment, Center of Soft Matter Physics and its Applications, Beihang University, Beijing 100191, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Jiang
authors.affiliation: School of Science, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Xinghua
authors.initials: X
authors.lastname: Zhang
authors.affiliation: College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China.
authors.forename: Bing
authors.initials: B
authors.lastname: Miao
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: Dadong
authors.initials: D
authors.lastname: Yan