| Title | Modified diffusion equation for the wormlike-chain statistics in curvilinear coordinates |
| Authors | Liang, Qin Li, Jianfeng Zhang, Pingwen Chen, Jeff Z. Y. |
| Affiliation | Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China. Peking Univ, LMAM, Beijing 100871, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Fudan Univ, Dept Macromol Sci, State Key Lab Mol Engn Polymers, Shanghai 200433, Peoples R China. Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada. |
| Issue Date | 2013 |
| Publisher | journal of chemical physics |
| Citation | JOURNAL OF CHEMICAL PHYSICS.2013,138,(24). |
| Abstract | One of the essential physical quantities used to study the conformation and structure of polymers is the so-called propagator in polymer theories. On the basis of the wormlike-chain statistical-physics model, we derive the partial diffusion equation that the propagator satisfies, for a curvilinear coordinate system. As it turns out, an additional term exists, that couples the rotating local coordinate frame with an orientation differential operator; this term has not been previously documented. In addition, for a wormlike chain moving on a curved surface, the external-field term needs to be supplemented by a surface curvature energy penalty. (C) 2013 AIP Publishing LLC. |
| URI | http://hdl.handle.net/20.500.11897/157480 |
| ISSN | 0021-9606 |
| DOI | 10.1063/1.4811515 |
| Indexed | SCI(E) EI |
| Appears in Collections: | 数学及其应用教育部重点实验室 数学科学学院 |
