Emergent Spatial Structures in Flocking Models: A Dynamical System Insight

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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Jean-Baptiste Caussin, Alexandre Solon, Anton Peshkov, Hugues Chaté, Thierry Dauxois, et al.. Emergent Spatial Structures in Flocking Models: A Dynamical System Insight. Physical Review Letters, American Physical Society, 2014, 112, ⟨10.1103/PhysRevLett.112.148102⟩. ⟨cea-01478849⟩

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