Volume 6, Issue 1
Steady States of Sheared Active Nematics

Zhenlu Cui, Xiaoming Zeng & Jianbing Su

Adv. Appl. Math. Mech., 6 (2014), pp. 75-86.

Published online: 2014-06

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  • Abstract

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 flow-tumbling 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.

  • Keywords

Asymptotic expansion active liquid crystals hydrodynamics

  • AMS Subject Headings

76A15 76M45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-75, author = {Zhenlu Cui, Xiaoming Zeng and Jianbing Su}, title = {Steady States of Sheared Active Nematics}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {1}, pages = {75--86}, abstract = {

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 flow-tumbling 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12109}, url = {http://global-sci.org/intro/article_detail/aamm/5.html} }
TY - JOUR T1 - Steady States of Sheared Active Nematics AU - Zhenlu Cui, Xiaoming Zeng & Jianbing Su JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 75 EP - 86 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.12-m12109 UR - https://global-sci.org/intro/aamm/5.html KW - Asymptotic expansion KW - active liquid crystals KW - hydrodynamics AB -

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 flow-tumbling 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.

Zhenlu Cui, Xiaoming Zeng & Jianbing Su. (1970). Steady States of Sheared Active Nematics. Advances in Applied Mathematics and Mechanics. 6 (1). 75-86. doi:10.4208/aamm.12-m12109
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