Emergent spatial structures in flocking models: a dynamical system insight

Emergent spatial structures in flocking models: a dynamical system insight

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 experiment...

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Bibliographic Details
Published in:Physical review letters Vol. 112; no. 14; p. 148102
Main Authors: Caussin, Jean-Baptiste, Solon, Alexandre, Peshkov, Anton, Chaté, Hugues, Dauxois, Thierry, Tailleur, Julien, Vitelli, Vincenzo, Bartolo, Denis
Format: Journal Article
Language:English
Published: United States American Physical Society 08-04-2014
Subjects:
Computer Simulation
Flocculation
Hydrodynamics
Models, Biological
Models, Chemical
Physics
Solutions - chemistry
Spatial Behavior
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Summary: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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content type line 23
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.112.148102