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arXiv 1806.09697cond-mat.soft
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微管-马达混合物中的干活性turbulence

Dry active turbulence in microtubule-motor mixtures

Ivan Maryshev, Andrew B. Goryachev, Davide Marenduzzo, Alexander Morozov

摘要:

我们研究了微管和分子马达的干悬浮液的动力学和相行为。我们得到了一组连续方程严格粗粒化的微观模型,电机引起的相互作用导致平行或反平行秩序。通过数值模拟,我们表明,该模型一般创建稳定的条纹,或条纹周期性地形成,旋转,然后分裂的永不稳定的模式。我们推导出一个极小模型,它显示出与完整模型相同的不稳定性,并阐明了潜在的物理机制。必要的成分是由微管滑动产生的可扩展通量和有利于沿密度梯度排序的界面扭矩。我们认为,我们的极小模型统一到一个普遍的普遍性类干活性物质的混沌行为的各种以前的观察。

英文摘要:

We study the dynamics and phase behaviour of a dry suspension of microtubules and molecular motors. We obtain a set of continuum equations by rigorously coarse graining a microscopic model where motor-induced interactions lead to parallel or antiparallel ordering. Through numerical simulations, we show that this model generically creates either stable stripes, or a never-settling pattern where stripes periodically form, rotate and then split up. We derive a minimal model which displays the same instability as the full model, and clarifies the underlying physical mechanism. The necessary ingredients are an extensile flux arising from microtubule sliding and an interfacial torque favouring ordering along density gradients. We argue that our minimal model unifies various previous observations of chaotic behaviour in dry active matter into a general universality class.

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