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Long-Range Nematic Order in Two-Dimensional Active Matter

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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

Mahault, B., & Chaté, H. (2021). Long-Range Nematic Order in Two-Dimensional Active Matter. Physical Review Letters, 127: 048003. doi:10.1103/PhysRevLett.127.048003.


Cite as: https://hdl.handle.net/21.11116/0000-0009-C7E6-3
Abstract
Working in two space dimensions, we show that the orientational order emerging from self-propelled polar particles aligning nematically is quasi-long-ranged beyond ℓr, the scale associated to induced velocity reversals, which is typically extremely large and often cannot even be measured. Below ℓr, nematic order is long-range. We construct and study a hydrodynamic theory for this de facto phase and show that its structure and symmetries differ from conventional descriptions of active nematics. We check numerically our theoretical predictions, in particular the presence of π-symmetric propagative sound modes, and provide estimates of all scaling exponents governing long-range space-time correlations.