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Nonlinear field equations for aligning self-propelled rods

Abstract : We derive a set of minimal yet complete nonlinear field equations describing the collective properties of self-propelled rods from a simple microscopic starting point, the Vicsek model with nematic alignment. Analysis of their linear and nonlinear dynamics shows good agreement with the original microscopic model. In particular, we derive an explicit expression for the fronts forming density-segregated, banded solutions, allowing us to develop a more complete analytic picture of the problem at the nonlinear level.
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Contributor : Eric Bertin <>
Submitted on : Wednesday, November 27, 2013 - 7:07:06 PM
Last modification on : Friday, March 5, 2021 - 3:05:44 PM

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Anton Peshkov, Igor S. Aranson, Eric Bertin, Hugues Chaté, Francesco Ginelli. Nonlinear field equations for aligning self-propelled rods. Physical Review Letters, American Physical Society, 2012, 109, pp.268701. ⟨10.1103/PhysRevLett.109.268701⟩. ⟨hal-00910349⟩



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