Flocking Regimes in a Simple Lattice Model

Details Flocking Regimes in a Simple Lattice Model Flocking Regimes in a Simple Lattice Model

2005-09-21

arxiv.org/abs/cond-mat/0509551v1

Physical Review E, Vol. 73, 036112 (2006)

Physics

Condensed Matter

Statistical Mechanics

24 pages 7 figures

Scientific paper

10.1103/PhysRevE.73.036112

We study a one-dimensional lattice flocking model incorporating all three of the flocking criteria proposed by Reynolds [Computer Graphics vol.21 4 (1987)]: alignment, centring and separation. The model generalises that introduced by O. J. O' Loan and M. R. Evans [J. Phys. A. vol. 32 L99 (1999)]. We motivate the dynamical rules by microscopic sampling considerations. The model exhibits various flocking regimes: the alternating flock, the homogeneous flock and dipole structures. We investigate these regimes numerically and within a continuum mean-field theory.

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