Volume 6, Issue 1
Steady States of Sheared Active Nematics

Zhenlu Cui ,  Xiaoming Zeng and Jianbing Su

10.4208/aamm.12-m12109

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

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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.

  • History

Published online: 2014-06

  • AMS Subject Headings

76A15, 76M45

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