Acknowledgments. This work has been supported by the Agence Nationale pour la Recherche (ANR) under grant ‘MOTIMO’ (ANR-11-MONU-009-01), by the Engineering and Physical Sciences Research Council (EPSRC) under grant ref. EP/M006883/1, and by the National Science Foundation (NSF) under grant RNMS 11-07444 (KI-Net). P. D. is on leave from CNRS, Institut de Math ́ematiques, Toulouse, France. He acknowledges support from the Royal Society and the Wolfson foundation through a Royal Society Wolfson Research Merit Award. H. Y. wishes to acknowledge the hospitality of the Department of Mathematics, Imperial College London, where this research was conducted. P. D. and H. Y. wish to thank F. Plourabou ́e (IMFT, Toulouse, France) for enlighting discussions.Peer reviewedPublisher PD

Degond, Pierre

Henkes, Silke

Yu, Hui

Kinetic and Related Models

English

Acknowledgments. This work has been supported by the Agence Nationale pour la Recherche (ANR) under grant ‘MOTIMO’ (ANR-11-MONU-009-01), by the Engineering and Physical Sciences Research Council (EPSRC) under grant ref. EP/M006883/1, and by the National Science Foundation (NSF) under grant RNMS 11-07444 (KI-Net). P. D. is on leave from CNRS, Institut de Math ́ematiques, Toulouse, France. He acknowledges support from the Royal Society and the Wolfson foundation through a Royal Society Wolfson Research Merit Award. H. Y. wishes to acknowledge the hospitality of the Department of Mathematics, Imperial College London, where this research was conducted. P. D. and H. Y. wish to thank F. Plourabou ́e (IMFT, Toulouse, France) for enlighting discussions.Peer reviewe

Aberdeen University Research

Self-organized hydrodynamics with density-dependent velocity

Motivated by recent experimental and computational results that show a motility-induced clustering transition in self-propelled particle systems, we study an individual model and its corresponding Self-Organized Hydrodynamic model for collective behaviour that incorporates a density-dependent velocity, as well as inter-particle alignment. The modal analysis of the hydrodynamic model elucidates the relationship between the stability of the equilibria and the changing velocity, and the formation of clusters. We find, in agreement with earlier results for non-aligning particles, that the key criterion for stability is (ρv(ρ))' ≥ 0, i.e. a nondecreasing mass flux ρv(ρ) with respect to the density. Numerical simulation for both the individual and hydrodynamic models with a velocity function inspired by experiment demonstrates the validity of the theoretical results.</p

Explore Bristol Research

International audienceMotivated by recent experimental and computational results that show a motility-induced clustering transition in self-propelled particle systems, we study an individual model and its corresponding Self-Organized Hydro-dynamic model for collective behaviour that incorporates a density-dependent velocity, as well as inter-particle alignment. The modal analysis of the hydrody-namic model elucidates the relationship between the stability of the equilibria and the changing velocity, and the formation of clusters. We find, in agreement with earlier results for non-aligning particles, that the key criterion for stability is (ρv(ρ)) ≥ 0, i.e. a nondecreasing mass flux ρv(ρ) with respect to the density. Numerical simulation for both the individual and hydrodynamic models with a velocity function inspired by experiment demonstrates the validity of the theoretical results

HAL: Hyper Article en Ligne

SELF-ORGANIZED HYDRODYNAMICS WITH DENSITY-DEPENDENT VELOCITY

HAL-INSA Toulouse

Publikationsserver der RWTH Aachen University

Motivated by recent experimental and computational results that
show a motility-induced clustering transition in self-propelled particle systems,
we study an individual model and its corresponding Self-Organized Hydrodynamic
model for collective behaviour that incorporates a density-dependent
velocity, as well as inter-particle alignment. The modal analysis of the hydrodynamic
model elucidates the relationship between the stability of the equilibria
and the changing velocity, and the formation of clusters. We find, in agreement
with earlier results for non-aligning particles, that the key criterion for stability
is (ρv(ρ))0 ≥ 0, i.e. a nondecreasing mass flux ρv(ρ) with respect to the density.
Numerical simulation for both the individual and hydrodynamic models
with a velocity function inspired by experiment demonstrates the validity of
the theoretical results

Degond, PAA

Henkes, S

Yu, H

Spiral - Imperial College Digital Repository

Self-organized Hydrodynamics with density-dependent velocity

HAL Université de Toulouse, et Toulouse INP

https://hal.science/hal-02499465v1/file/1602.06195.pdf

Self-organized hydrodynamics with density-dependent velocity

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Aberdeen University Research

Explore Bristol Research

HAL: Hyper Article en Ligne

HAL-INSA Toulouse

Explore Bristol Research

Publikationsserver der RWTH Aachen University

Spiral - Imperial College Digital Repository

HAL Université de Toulouse, et Toulouse INP