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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2006

Boltzmann and hydrodynamic description for self-propelled particles

Eric Bertin
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Michel Droz
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Guillaume Gregoire

Résumé

We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result, we derive from the individual dynamics the hydrodynamic equations for the density and velocity fields, thus giving a microscopic foundation to the phenomenological equations used in previous approaches. A homogeneous spontaneous motion emerges below a transition line in the noise-density plane. Yet, this state is shown to be unstable against spatial perturbations, suggesting that more complicated structures should eventually appear.

Dates et versions

hal-00910408 , version 1 (28-11-2013)

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Eric Bertin, Michel Droz, Guillaume Gregoire. Boltzmann and hydrodynamic description for self-propelled particles. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74 (2), pp.022101. ⟨10.1103/PhysRevE.74.022101⟩. ⟨hal-00910408⟩
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