Emergent spatial structures in flocking models: a dynamical system insight
Soft Condensed Matter
2014-06-26 v2
Abstract
We show that hydrodynamic theories of polar active matter generically possess inhomogeneous traveling solutions. We introduce a unifying dynamical-system framework to establish the shape of these intrinsically nonlinear patterns, and show that they correspond to those hitherto observed in experiments and numerical simulations: periodic density waves, and solitonic bands, or polar-liquid droplets both cruising in isotropic phases. We elucidate their respective multiplicity and mutual relations, as well as their existence domain.
Cite
@article{arxiv.1401.1315,
title = {Emergent spatial structures in flocking models: a dynamical system insight},
author = {Jean-Baptiste Caussin and Alexandre Solon and Anton Peshkov and Hugues Chaté and Thierry Dauxois and Julien Tailleur and Vincenzo Vitelli and Denis Bartolo},
journal= {arXiv preprint arXiv:1401.1315},
year = {2014}
}