Nonlinear field equations for aligning self-propelled rods

Anton Peshkov, Igor S. Aranson, Eric Bertin, Hugues Chaté, Francesco Ginelli

Research output: Contribution to journalArticlepeer-review

89 Scopus citations

Abstract

We derive a set of minimal and well-behaved 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 density-segregated, banded solutions, allowing us to develop a more complete analytic picture of the problem at the nonlinear level.

Original languageEnglish (US)
Article number268701
JournalPhysical review letters
Volume109
Issue number26
DOIs
StatePublished - Dec 27 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Nonlinear field equations for aligning self-propelled rods'. Together they form a unique fingerprint.

Cite this