Signatures of fractal clustering of aerosols advected under gravity

Rafael D. Vilela, T. Tél, Alessandro P S De Moura, Celso Grebogi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Aerosols 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 D0 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.

Original languageEnglish
Article number065203
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume75
Issue number6
DOIs
Publication statusPublished - Jun 27 2007

Fingerprint

Chaotic Advection
Strange attractor
Aerosol
advection
Fractal
strange attractors
fractals
aerosols
Gravity
Signature
signatures
Clustering
gravitation
Fractal Set
Meteorology
Advection
Fractal Dimension
vertical motion
Vertical
Numerical Experiment

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Signatures of fractal clustering of aerosols advected under gravity. / Vilela, Rafael D.; Tél, T.; De Moura, Alessandro P S; Grebogi, Celso.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 75, No. 6, 065203, 27.06.2007.

Research output: Contribution to journalArticle

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