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arXiv 0706.4174cond-mat.softcond-mat.stat-mech
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活性液晶中自发流动的格子Boltzmann模拟:边界条件的作用

Lattice Boltzmann simulations of spontaneous flow in active liquid crystals: the role of boundary conditions

D. Marenduzzo, E. Orlandini, M. E. Cates, J. M. Yeomans

摘要:

活性液晶或活性凝胶是可以物理实现的软材料,例如通过制备与分子马达相互作用的细胞骨架丝的溶液。我们研究了具有各种边界条件的板状几何结构中的有源液晶的流体动力学,通过格子Boltzmann模拟数值求解其运动方程。在所有的情况下,我们发现,主动液晶可以维持自发流在稳态相反,他们的被动同行,并与最近的理论预测。我们进一步发现,冲突锚定条件的边界导致自发流的任何值的“活动”参数,而与未受挫锚定在所有边界自发流只发生在活动超过一个临界阈值。最后,我们讨论了在几个选定的情况下,导致稳态的动态路径。

英文摘要:

Active liquid crystals or active gels are soft materials which can be physically realised e.g. by preparing a solution of cytoskeletal filaments interacting with molecular motors. We study the hydrodynamics of an active liquid crystal in a slab-like geometry with various boundary conditions, by solving numerically its equations of motion via lattice Boltzmann simulations. In all cases we find that active liquid crystals can sustain spontaneous flow in steady state contrarily to their passive counterparts, and in agreement with recent theoretical predictions. We further find that conflicting anchoring conditions at the boundaries lead to spontaneous flow for any value of the 'activity' parameter, while with unfrustrated anchoring at all boundaries spontaneous flow only occurs when the activity exceeds a critical threshold. We finally discuss the dynamic pathway leading to steady state in a few selected cases.

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