Dynamical density functional theory for circle swimmers

Autor: Christian Hoell, Hartmut Löwen, Andreas M Menzel
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: New Journal of Physics, Vol 19, Iss 12, p 125004 (2017)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/aa942e
Popis: The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric active microswimmers tend to show a persistent curvature of their trajectories. Consequently, we here present a particle-scale statistical approach to circle-swimmer suspensions in terms of a dynamical density functional theory. It is based on a minimal microswimmer model and, particularly, includes hydrodynamic interactions between the swimmers. After deriving the theory, we numerically investigate a planar example situation of confining the swimmers in a circularly symmetric potential trap. There, we find that increasing curvature of the swimming trajectories can reverse the qualitative effect of active drive. More precisely, with increasing curvature, the swimmers less effectively push outwards against the confinement, but instead form high-density patches in the center of the trap. We conclude that the circular motion of the individual swimmers has a localizing effect, also in the presence of hydrodynamic interactions. Parts of our results could be confirmed experimentally, for instance, using suspensions of L-shaped circle swimmers of different aspect ratio.
Databáze: Directory of Open Access Journals