Stable dynamic states at the nematic liquid crystals in weak shear flow | |
Zhang, Hui ; Zhang, Pingwen | |
2007 | |
关键词 | nematic liquid crystals hysteresis phenomenon stable dynamic states theoretical analysis SMOLUCHOWSKI EQUATION CONSTITUTIVE EQUATION STEADY-STATES POLYMERS ALIGNMENT PHASE MODEL |
英文摘要 | We study stable equilibria of liquid crystals in the flow being at rest and the stable dynamic states for nematic liquid crystals under weak shear flow for the Doi model [M. Doi, S.F. Edwards, The Theory of Polymer Dynamics, Oxford University Press, 1986]. It is first theoretically proven that there is a hysteresis phenomenon in the flow being at rest when the non-dimensional potential intensity among particles changes. Furthermore, in the weak shear flow, we show that there exist many stable dynamic states: flow aligning, tumbing, log-rolling and kayaking, which depend on the initial concentrated orientation of liquid crystal particles. The results are consistent with those of numerical simulation [M.G. Forest, Q. Wang, R. Zhou, The weak shear kinetic phase diagram for nematic polymers, Rheol. Acta 43 (2004) 17-37; M.G. Forest, R. Zhou, Q.Wang, Full-tensor alignment criteria for sheared nematic polymers, J. Rheol. 47 (2003) 105-127] and experimental discoveries [W.R. Burghardt, Molecular orientation and rheology in sheared lyotropic liquid crystalline polymers, Macromol. Chem. Phys. 199 (1998) 471-488; Ch. Gahwiller, Temperature dependence of flow alignment in nematic liquid crystals, Phys. Rev. Lett. 28 (1972) 1554-1556]. Theoretical analysis is reported the first time that the Kayaking state does not circulate around a fixed direction but the asymmetric axis will periodically change. (c) 2007 Elsevier B.V. All rights reserved.; Mathematics, Applied; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; 0; ARTICLE; 2; 156-165; 232 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | physica d nonlinear phenomena |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/249863] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Zhang, Hui,Zhang, Pingwen. Stable dynamic states at the nematic liquid crystals in weak shear flow. 2007-01-01. |
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