Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched 
Disorder

Duan, Yu; Mahault, Benoit; Ma, Yu-qiang; Shi, Xia-qing; Chaté, Hugues

doi:10.1103/PhysRevLett.126.178001

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Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder

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Mahault, Benoit
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Duan, Y., Mahault, B., Ma, Y.-q., Shi, X.-q., & Chaté, H. (2021). Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder. Physical Review Letters, 126: 178001. doi:10.1103/PhysRevLett.126.178001.

Cite as: https://hdl.handle.net/21.11116/0000-0009-C7E9-0

Abstract

We show that spatial quenched disorder affects polar active matter in ways more complex and far reaching than heretofore believed. Using simulations of the 2D Vicsek model subjected to random couplings or a disordered scattering field, we find in particular that ergodicity is lost in the ordered phase, the nature of which we show to depend qualitatively on the type of quenched disorder: for random couplings, it remains long-range ordered, but qualitatively different from the pure (disorderless) case. For random scatterers, polar order varies with system size but we find strong non-self-averaging, with sample-to-sample fluctuations dominating asymptotically, which prevents us from elucidating the asymptotic status of order.