Signatures of fractal clustering of aerosols advected under gravity

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dc.creatorVilela, Rafael Dias
dc.creatorTél, Tamás
dc.creatorde Moura, Alessandro P. S.
dc.creatorGrebogi, Celso
dc.date2007-06-15
dc.date.accessioned2026-07-07T08:12:35Z
dc.date.available2026-07-07T08:12:35Z
dc.descriptionAerosols under chaotic advection often approach a strange attractor. They move chaotically on this fractal set but, in the presence of gravity, they have a net vertical motion downwards. In practical situations, observational data may be available only at a given level, for example at the ground level. We uncover two fractal signatures of chaotic advection of aerosols under the action of gravity. Each one enables the computation of the fractal dimension $D_{0}$ of the strange attractor governing the advection dynamics from data obtained solely at a given level. We illustrate our theoretical findings with a numerical experiment and discuss their possible relevance to meteorology.
dc.descriptionAccepted for publication in Phys. Rev. E (Rapid Communications)
dc.identifierhttps://arxiv.org/abs/0706.2296
dc.identifierhttp://arxiv.org/abs/0706.2296
dc.identifierPhys. Rev. E 75, 065203(R) (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132503
dc.subjectChaotic Dynamics
dc.subjectAtmospheric and Oceanic Physics
dc.subjectFluid Dynamics
dc.titleSignatures of fractal clustering of aerosols advected under gravity
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