Geometric order parameter equations

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dc.creatorHolm, Darryl D.
dc.creatorPutkaradze, Vakhtang
dc.date2006-08-07
dc.date.accessioned2026-07-07T07:25:27Z
dc.date.available2026-07-07T07:25:27Z
dc.descriptionAggregation of particles whose interaction potential depends on their mutual orientation is considered. The aggregation dynamics is derived using a version of Darcy's law and a variational principle depending on the geometric nature of the physical quantities. The evolution equations that result separate into two classes: either characteristic equations, or gradient flow equations. We derive analytical solutions of both types of equations which are collapsed (clumped) states and show their dynamical emergence from smooth initial conditions in numerical simuations.
dc.description10 pages, 3 figures. Submitted to Physical Review Letters
dc.identifierhttps://arxiv.org/abs/nlin/0608011
dc.identifierhttp://arxiv.org/abs/nlin/0608011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116722
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPattern Formation and Solitons
dc.titleGeometric order parameter equations
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