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Collective Motion of Self-Propelled Particles with Memory

Abstract : 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.
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Ken H. Nagai, Yutaka Sumino, Raul Montagne, Igor S. Aranson, Hugues Chaté. Collective Motion of Self-Propelled Particles with Memory. Physical Review Letters, American Physical Society, 2015, 114, pp.168001. ⟨10.1103/PhysRevLett.114.168001⟩. ⟨cea-01367162⟩

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