[Les suspensions actives et leurs modèles non linéaires]
Les suspensions actives, telles que les suspensions de micro-organismes auto-propulsés ou autres nageurs microscopiques artificiels, sont connues pour leur dynamique complexe et la formation de motifs en raison dʼinteractions hydrodynamiques. Nous résumons dans cet article les dernières avancées dans la modélisation de ces systèmes à lʼaide de théories cinétiques continues. Dans un premier temps, nous développons un modèle cinétique élémentaire pour une suspension de particules auto-propulsées alongées et considérons sa stabilité et sa dynamique non linéaire. Nous présentons ensuite des extensions de ce modèle pour analyser la rhéologie effective des suspensions actives en écoulement externe, lʼeffet des interactions stériques dans les systémes à forte concentration et la dynamique de suspensions chimiotactiques dans des champs chimiques.
Active suspensions, such as suspensions of self-propelled microorganisms and related synthetic microswimmers, are known to undergo complex dynamics and pattern formation as a result of hydrodynamic interactions. In this review, we summarize recent efforts to model these systems using continuum kinetic theories. We first derive a basic kinetic model for a suspension of self-propelled rodlike particles and discuss its stability and nonlinear dynamics. We then present extensions of this model to analyze the effective rheology of active suspensions in external flows, the effect of steric interactions in concentrated systems, and the dynamics of chemotactically responsive suspensions in chemical fields.
Mot clés : Suspension active, Théorie cinétique, Micro-organismes nageants, Interactions hydrodynamiques, Instabilité
David Saintillan 1 ; Michael J. Shelley 2
@article{CRPHYS_2013__14_6_497_0,
author = {David Saintillan and Michael J. Shelley},
title = {Active suspensions and their nonlinear models},
journal = {Comptes Rendus. Physique},
pages = {497--517},
publisher = {Elsevier},
volume = {14},
number = {6},
year = {2013},
doi = {10.1016/j.crhy.2013.04.001},
language = {en},
}
David Saintillan; Michael J. Shelley. Active suspensions and their nonlinear models. Comptes Rendus. Physique, Volume 14 (2013) no. 6, pp. 497-517. doi : 10.1016/j.crhy.2013.04.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.04.001/
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