Flocking Regimes in a Simple Lattice Model

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dc.creatorRaymond, J. R.
dc.creatorEvans, M. R.
dc.date2005-09-21
dc.date.accessioned2026-07-07T06:33:21Z
dc.date.available2026-07-07T06:33:21Z
dc.descriptionWe 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.
dc.description24 pages 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0509551
dc.identifierhttp://arxiv.org/abs/cond-mat/0509551
dc.identifierPhysical Review E, Vol. 73, 036112 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.036112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99166
dc.subjectStatistical Mechanics
dc.titleFlocking Regimes in a Simple Lattice Model
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