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arXiv 1602.00604cond-mat.softcond-mat.stat-mech
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简单活动粒子模型中的涌现近晶序

Emergent smectic order in simple active particle models

Pawel Romanczuk, Hugues Chaté, Leiming Chen, Sandrine Ngo, John Toner

摘要:

新颖的“近晶-P”行为,其中自推进粒子形成行,并平均沿它们移动,一般发生在我们模拟的简单模型的取向有序相。非极性(头-尾对称)和极性(头-尾不对称)的模型与对齐和排斥的相互作用表现出缓慢的代数衰减的近晶顺序与系统的大小到一些有限的长度尺度,之后发生更快的衰减。在非极地的情况下,这个尺度就是行星列的波动不稳定性。在极坐标的情况下,这种不稳定性是不存在的,但是移动的波动会破坏大系统中的行,运动和近晶序可能会自发地全局旋转。这些观测结果与我们提出的一种新的流体力学理论相一致。我们的模型的变体也表现出积极的近晶“A”和“C”顺序,与运动正交和倾斜的层分别。

英文摘要:

Novel "smectic-P" behavior, in which self-propelled particles form rows and move on average along them, occurs generically within the orientationally-ordered phase of simple models that we simulate. Both apolar (head-tail symmetric) and polar (head-tail asymmetric) models with aligning and repulsive interactions exhibit slow algebraic decay of smectic order with system size up to some finite length scale, after which faster decay occurs. In the apolar case, this scale is that of an undulation instability of the rows. In the polar case, this instability is absent, but traveling fluctuations disrupt the rows in large systems and motion and smectic order may spontaneously globally rotate. These observations agree with a new hydrodynamic theory which we present here. Variants of our models also exhibit active smectic "A" and "C" order, with motion orthogonal and oblique to the layers respectively.

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