Dry Active Matter Exhibits a Self-Organized Cross Sea Phase

Physical Review Letters
Rüdiger Kürsten, Thomas Ihle

Abstract

The Vicsek model of self-propelled particles is known in three different phases: a polar ordered homogeneous phase, also called the Toner-Tu phase, a phase of polar ordered regularly arranged high density bands with surrounding low density regions without polar order, and a homogeneous phase without polar order. Here, we show that the standard Vicsek model has a fourth phase for large system sizes: a polar ordered cross sea phase. We demonstrate that the cross sea phase is not just a superposition of two waves, but it is an independent complex pattern with an inherently selected crossing angle.

References

Feb 1, 1991·Physical Review. B, Condensed Matter·J Lee, J M Kosterlitz
Aug 7, 1995·Physical Review Letters·T VicsekO Shochet
Feb 3, 2004·Physical Review Letters·Guillaume Grégoire, Hugues Chaté
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eric BertinGuillaume Grégoire
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hugues ChatéFranck Raynaud
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Ihle
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andreas M Menzel
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John Toner
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Ihle
Nov 28, 2013·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A M Menzel
Feb 28, 2015·Physical Review Letters·Alexandre P SolonJulien Tailleur
Apr 29, 2015·Reports on Progress in Physics·J ElgetiG Gompper
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandre P SolonJulien Tailleur

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