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• W2034389899 abstract "We show that coupling to curvature nontrivially affects collective motion in active systems, leading to motion patterns not observed in flat space. Using numerical simulations, we study a model of self-propelled particles with polar alignment and soft repulsion confined to move on the surface of a sphere. We observe a variety of motion patterns with the main hallmarks being polar vortex and circulating band states arising due to the incompatibility between spherical topology and uniform motion---a consequence of the ``hairy ball'' theorem. We provide a detailed analysis of density, velocity, pressure, and stress profiles in the circulating band state. In addition, we present analytical results for a simplified model of collective motion on the sphere showing that frustration due to curvature leads to stable elastic distortions storing energy in the band." @default.
• W2034389899 created "2016-06-24" @default.
• W2034389899 creator A5063145316 @default.
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• W2034389899 date "2015-02-17" @default.
• W2034389899 modified "2023-10-16" @default.
• W2034389899 title "Active swarms on a sphere" @default.
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• W2034389899 doi "https://doi.org/10.1103/physreve.91.022306" @default.
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• W2034389899 hasPublicationYear "2015" @default.
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