含表面移动酶的活性粒子的自发极化和运动
Spontaneous polarization and locomotion of an active particle with surface-mobile enzymes
摘要:
我们研究的运动机制的活性颗粒,其表面均匀涂有移动酶。这些酶催化一种驱动电泳流动的反应,但它们的均匀分布禁止对称运动。我们发现,结合自泳的酶在表面上迁移的能力,可以导致一个自发对称性破缺不稳定性,从而均匀分布的酶极化和粒子推进。的不稳定性是由酶的平流电泳流和发生以上的临界Péclet数。通过超临界或亚临界的干草叉分叉,其中后者使滞后和共存的均匀和极化状态的极化运动状态的过渡发生。
英文摘要:
We examine a mechanism of locomotion of active particles whose surface is uniformly coated with mobile enzymes. The enzymes catalyze a reaction that drives phoretic flows but their homogeneous distribution forbids locomotion by symmetry. We find that the ability of the enzymes to migrate over the surface combined with self-phoresis can lead to a spontaneous symmetry breaking instability whereby the homogeneous distribution of enzymes polarizes and the particle propels. The instability is driven by the advection of enzymes by the phoretic flows and occurs above a critical Péclet number. The transition to polarized motile states occurs via a supercritical or subcritical pitchfork bifurcations, the latter of which enables hysteresis and coexistence of uniform and polarized states.
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