Signatures of fractal clustering of aerosols advected under gravity

Rafeal D. Vilela, Tamás Tél, Alessandro Paula Servio de Moura, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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 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.

Original languageEnglish
Article number065203(R)
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number6
Publication statusPublished - 27 Jun 2007


  • particles
  • cloud
  • turbulence
  • dynamics
  • equation
  • systems
  • motion
  • sphere
  • fluid
  • flow


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