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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| Published in: | Physical review letters Vol. 112; no. 14; p. 148102 |
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| Main Authors: | , , , , , , , |
| Format: | Journal Article |
| Language: | English |
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American Physical Society
08-04-2014
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| 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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| AbstractList | 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. |
| ArticleNumber | 148102 |
| Author | Vitelli, Vincenzo Tailleur, Julien Dauxois, Thierry Bartolo, Denis Chaté, Hugues Caussin, Jean-Baptiste Solon, Alexandre Peshkov, Anton |
| Author_xml | – sequence: 1 givenname: Jean-Baptiste surname: Caussin fullname: Caussin, Jean-Baptiste organization: Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, Université de Lyon, CNRS, 46, Allée d'Italie, 69007 Lyon, France – sequence: 2 givenname: Alexandre surname: Solon fullname: Solon, Alexandre organization: Université Paris Diderot, Sorbonne Paris Cité, MSC, CNRS, 75205 Paris, France – sequence: 3 givenname: Anton surname: Peshkov fullname: Peshkov, Anton organization: LPTMC, CNRS, Université Pierre et Marie Curie, 75252 Paris, France and Service de Physique de l'Etat Condensé, CEA-Saclay, CNRS, 91191 Gif-sur-Yvettes, France and Max Planck Institute for Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany – sequence: 4 givenname: Hugues surname: Chaté fullname: Chaté, Hugues organization: LPTMC, CNRS, Université Pierre et Marie Curie, 75252 Paris, France and Service de Physique de l'Etat Condensé, CEA-Saclay, CNRS, 91191 Gif-sur-Yvettes, France and Max Planck Institute for Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany – sequence: 5 givenname: Thierry surname: Dauxois fullname: Dauxois, Thierry organization: Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, Université de Lyon, CNRS, 46, Allée d'Italie, 69007 Lyon, France – sequence: 6 givenname: Julien surname: Tailleur fullname: Tailleur, Julien organization: Université Paris Diderot, Sorbonne Paris Cité, MSC, CNRS, 75205 Paris, France – sequence: 7 givenname: Vincenzo surname: Vitelli fullname: Vitelli, Vincenzo organization: Instituut-Lorenz for Theoretical Physics, Universiteit Leiden, 2300 RA Leiden, Netherlands – sequence: 8 givenname: Denis surname: Bartolo fullname: Bartolo, Denis organization: Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, Université de Lyon, CNRS, 46, Allée d'Italie, 69007 Lyon, France |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/24766020$$D View this record in MEDLINE/PubMed https://cea.hal.science/cea-01478849$$DView record in HAL |
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| Cites_doi | 10.1103/PhysRevLett.108.248101 10.1103/PhysRevE.85.061903 10.1103/PhysRevLett.75.4326 10.1016/j.physrep.2012.03.004 10.1140/epjb/e2008-00275-9 10.1103/PhysRevE.74.022101 10.1103/PhysRevLett.80.4819 10.1103/PhysRevE.77.011920 10.1103/PhysRevLett.109.098101 10.1103/PhysRevE.88.040303 10.1103/RevModPhys.85.1143 10.1103/PhysRevLett.32.292 10.1038/nature12673 10.1103/PhysRevLett.111.078101 10.1038/nature09312 10.1088/1751-8113/42/44/445001 10.1103/PhysRevE.77.046113 10.1103/PhysRevE.81.061916 10.1103/PhysRevLett.75.1226 10.1016/j.ecocom.2011.07.008 10.1103/PhysRevLett.92.025702 10.1103/PhysRevLett.110.208001 |
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| References | G. B. Whitham (PhysRevLett.112.148102Cc24R1) 1974 V. I. Arnold (PhysRevLett.112.148102Cc19R1) 1980 S. A. Brazovskii (PhysRevLett.112.148102Cc25R1) 1975; 68 PhysRevLett.112.148102Cc26R1 PhysRevLett.112.148102Cc11R1 PhysRevLett.112.148102Cc10R1 PhysRevLett.112.148102Cc13R1 PhysRevLett.112.148102Cc12R1 PhysRevLett.112.148102Cc18R1 PhysRevLett.112.148102Cc15R1 PhysRevLett.112.148102Cc14R1 S. A. Brazovskii (PhysRevLett.112.148102Cc25R2) 1975; 41 PhysRevLett.112.148102Cc17R1 PhysRevLett.112.148102Cc15R2 S. H. Strogatz (PhysRevLett.112.148102Cc20R1) 1994 PhysRevLett.112.148102Cc23R1 PhysRevLett.112.148102Cc9R1 PhysRevLett.112.148102Cc7R1 PhysRevLett.112.148102Cc8R1 PhysRevLett.112.148102Cc7R2 PhysRevLett.112.148102Cc5R1 PhysRevLett.112.148102Cc5R2 PhysRevLett.112.148102Cc6R1 PhysRevLett.112.148102Cc3R1 PhysRevLett.112.148102Cc4R1 PhysRevLett.112.148102Cc1R1 PhysRevLett.112.148102Cc2R1 |
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| Snippet | We show that hydrodynamic theories of polar active matter generically possess inhomogeneous traveling solutions. We introduce a unifying dynamical-system... |
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| SubjectTerms | Computer Simulation Flocculation Hydrodynamics Models, Biological Models, Chemical Physics Solutions - chemistry Spatial Behavior |
| Title | Emergent spatial structures in flocking models: a dynamical system insight |
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