Supramolecular assemblies in active motor-filament systems: micelles, bilayers, and foams
arxiv(2024)
摘要
Active matter systems evade the constraints of thermal equilibrium, leading
to the emergence of intriguing collective behavior. A paradigmatic example is
given by motor-filament mixtures, where the motion of motor proteins drives
alignment and sliding interactions between filaments and their
self-organization into macroscopic structures. After defining a microscopic
model for these systems, we derive continuum equations, exhibiting the
formation of active supramolecular assemblies such as micelles, bilayers and
foams. The transition between these structures is driven by a branching
instability, which destabilizes the orientational order within the micelles,
leading to the growth of bilayers at high microtubule densities. Additionally,
we identify a fingering instability, modulating the shape of the micelle
interface at high motor densities. We study the role of various mechanisms in
these two instabilities, such as contractility, active splay, and anchoring,
allowing for generalization beyond the system considered here.
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