Supramolecular assemblies in active motor-filament systems: micelles, bilayers, and foams

Fuente: arXiv
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Autores principales: De Luca, Filippo, Maryshev, Ivan, Frey, Erwin
Formato: Preprint
Publicado: 2024
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author De Luca, Filippo
Maryshev, Ivan
Frey, Erwin
author_facet De Luca, Filippo
Maryshev, Ivan
Frey, Erwin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05070
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Supramolecular assemblies in active motor-filament systems: micelles, bilayers, and foams
De Luca, Filippo
Maryshev, Ivan
Frey, Erwin
Soft Condensed Matter
Biological Physics
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.
title Supramolecular assemblies in active motor-filament systems: micelles, bilayers, and foams
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2401.05070