Swarming in bounded domains

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The Vicsek model is a prototype for the emergence of collective motion. In free space, it is characterized by a swarm of particles all moving in the same direction. Since this dynamic does not include attraction among particles, the swarm, while aligning in velocity space, has no spatial coherence. Adding specular reflection at the boundaries generates global spatial coherence of the swarms while maintaining its velocity alignment. We investigate numerically how the geometry of the domain influences the Vicsek model using three type of geometry: a channel, a disk and a rectangle. Varying the parameters of the Vicsek model (e.g. noise levels and influence horizons), we discuss the mechanisms that generate spatial coherence and show how they create new dynamical solutions of the swarming motions in these geometries. Several observables are introduced to characterize the simulated patterns (e.g. mass profile, center of mass, connectivity of the swarm).

Original languageEnglish (US)
Pages (from-to)58-67
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Volume344
DOIs
StatePublished - Apr 1 2017

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swarming
geometry
specular reflection
rectangles
attraction
horizon
center of mass
alignment
prototypes
profiles

Keywords

  • Agent simulations
  • Dynamics of swarms
  • Swarm models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this

Swarming in bounded domains. / Armbruster, Hans; Motsch, Sebastien; Thatcher, Andrea.

In: Physica D: Nonlinear Phenomena, Vol. 344, 01.04.2017, p. 58-67.

Research output: Contribution to journalArticle

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