Comparison of Hard-Core and Soft-Core Potentials for Modelling Flocking in Free Space

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dc.creatorSmith, J. A
dc.creatorMartin, A. M
dc.date2009-05-14
dc.date.accessioned2026-07-07T13:14:57Z
dc.date.available2026-07-07T13:14:57Z
dc.descriptionAn investigation into the properties of a two dimensional (2D+1) system of self propelled particles (known as boids) in free space is conducted using a Lagrangian Individual-Based Model. A potential, associated with each boid is specified and a Lagrangian is subsequently derived in order to obtain the equations of motion for each particle in the flock. The Morse potential and the Lennard-Jones potential, both well understood in atomic and molecular physics, are specified. In contrast to the original model proposed by Vicsek [Phys. Rev. Lett. 75, 1226 (1995)] systems are considered with open boundary conditions. These two models successfully replicate the phases observed in Vicsek's original model, as well as several other significant phases, providing a realistic model of a wide range of flocking phenomena.
dc.description9 pages, 6 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0905.2260
dc.identifierhttp://arxiv.org/abs/0905.2260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230342
dc.subjectOther Condensed Matter
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectBiological Physics
dc.subjectPopulations and Evolution
dc.titleComparison of Hard-Core and Soft-Core Potentials for Modelling Flocking in Free Space
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