{ "id": "cond-mat/0509551", "version": "v1", "published": "2005-09-21T15:12:56.000Z", "updated": "2005-09-21T15:12:56.000Z", "title": "Flocking Regimes in a Simple Lattice Model", "authors": [ "J. R. Raymond", "M. R. Evans" ], "comment": "24 pages 7 figures", "journal": "Physical Review E, Vol. 73, 036112 (2006)", "doi": "10.1103/PhysRevE.73.036112", "categories": [ "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2005-09-21T15:12:56.000Z" } ], "analyses": { "keywords": [ "simple lattice model", "flocking regimes", "continuum mean-field theory", "computer graphics", "one-dimensional lattice flocking model incorporating" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }