Collective motion of self-propelled particles with memory

We show that memory, in the form of underdamped angular dynamics, is a crucial ingredient for the collective properties of self-propelled particles. Using Vicsek-style models with an Ornstein-Uhlenbeck process acting on angular velocity, we uncover a rich variety of collective phases not observed in...

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Bibliographic Details
Published in:Physical review letters 2015-04, Vol.114 (16), p.168001-168001, Article 168001
Main Authors: Nagai, Ken H, Sumino, Yutaka, Montagne, Raul, Aranson, Igor S, Chaté, Hugues
Format: Article
Language:English
Subjects:
Angular velocity
Dynamical systems
Dynamics
Fluid flow
Foams
Lattices
Phases
Physics
Vortices
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Summary:We show that memory, in the form of underdamped angular dynamics, is a crucial ingredient for the collective properties of self-propelled particles. Using Vicsek-style models with an Ornstein-Uhlenbeck process acting on angular velocity, we uncover a rich variety of collective phases not observed in usual overdamped systems, including vortex lattices and active foams. In a model with strictly nematic interactions the smectic arrangement of Vicsek waves giving rise to global polar order is observed. We also provide a calculation of the effective interaction between vortices in the case where a telegraphic noise process is at play, explaining thus the emergence and structure of the vortex lattices observed here and in motility assay experiments.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.114.168001