Emergent spatial structures in flocking models: a dynamical system insight.

Phys Rev Lett

Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, Université de Lyon, CNRS, 46, Allée d'Italie, 69007 Lyon, France.

Published: April 2014

AI Article Synopsis

  • The study reveals that hydrodynamic theories for polar active matter typically exhibit traveling solutions that are not uniform.
  • A new framework is introduced to analyze these nonlinear patterns, linking them to experimental observations like periodic density waves and polar-liquid droplets.
  • The research clarifies the relationship and variations among these patterns, as well as the conditions under which they occur.

Article 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 simulation: 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.

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http://dx.doi.org/10.1103/PhysRevLett.112.148102DOI Listing

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