Abstract
ABSTRACTSuspensions of active liquid crystals often maintain out of equilibrium and exhibit complex spatio-temporal behavior with strong fluctuations and long-range particle interactions. In this paper, we will address the instability of the equilibrium using a moment closure model derived from the kinetic equations. The system includes transport equations for the polarity vector and the local particle concentration, as well as the Navier–Stokes equations. Then we examine the dynamics of the polar active liquid crystals near equilibrium by conducting a linear stability analysis. Our results confirm the instability phenomena of active liquid crystals observed from laboratories. Numerical simulation results for different model parameters are provided to support our conclusion.
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