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Traveling bands, clouds, and vortices of chiral active matter

Abstract:
We consider stochastic dynamics of self-propelled particles with nonlocal normalized alignment interactions subject to phase lag. The role of the lag is to indirectly generate chirality into particle motion. To understand large scale behavior, we derive a continuum description of an active Brownian particle (ABP) flow with macroscopic scaling in the form of a partial differential equation (PDE) for a one-particle probability density function (DF). Due to indirect chirality, we find a new spatially homogeneous nonstationary analytic solution for this class of equations. Our development of kinetic and hydrodynamic theories towards such a solution reveals the existence of a wide variety of spatially nonhomogeneous patterns reminiscent of traveling bands, clouds, and vortical structures of linear active matter. Our model may thereby serve as the basis for understanding the nature of chiral active media and designing multiagent swarms with designated behavior.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevE.102.022604

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Queen's College
Role:
Author
ORCID:
0000-0001-8819-4660


Publisher:
American Physical Society
Journal:
Physical Review E More from this journal
Volume:
102
Article number:
022604
Publication date:
2020-08-06
Acceptance date:
2020-06-22
DOI:
EISSN:
1550-2376
ISSN:
1539-3755


Language:
English
Keywords:
Pubs id:
1114442
Local pid:
pubs:1114442
Deposit date:
2020-06-23

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