Steady States of Sheared Active Nematics  

作　　者：Zhenlu Cui Xiaoming Zeng Jianbing Su 

机构地区：[1]The Department of Mathematics and Computer Science,The Center for Defense and Homeland Security,Fayetteville State University,Fayetteville,NC 28301,USA [2]School of Mathematical Sciences,Xiamen University,Xiamen 361005,Fujian,China [3]School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China

出　　处：《Advances in Applied Mathematics and Mechanics》2014年第1期75-86,共12页应用数学与力学进展（英文）

基　　金：NSF through grant HBCU-UP-1036257;Fayetteville State University.Xiaoming Zeng’s work is supported in part by the National Science Foundation of China(Grant No.61170324);by the National Science Foundation of China(Grant No.11171285)。

摘　　要：A continuum hydrodynamic model has been used to characterize flowing active nematics.The behavior of such a system subjected to a weak steady shear is analyzed.We explore the director structures and flow behaviors of the system in flow-aligning and flow tumbling regimes.Combining asymptotic analysis and numerical simulations,we extend previous studies to give a complete characterization of the steady states for both contractile and extensile particles in flow-aligning and flowtumbling regimes.Another key prediction of this work is the role of the system size on the steady states of an active nematic system:if the system size is small,the velocity and the director angle files for both flow-tumbling contractile and extensile systems are similar to those of passive nematics;if the system is big,the velocity and the director angle files for flow-aligning contractile systems and tumbling extensile systems are akin to sheared passive cholesterics while they are oscillatory for flow-aligning extensile and tumbling contractile systems.

关 键 词：Asymptotic expansion active liquid crystals hydrodynamics. 

分 类 号：O17[理学—数学]