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 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 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
Volume75
Issue number6
DOIs
Publication statusPublished - 27 Jun 2007

Keywords

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

Cite this

Signatures of fractal clustering of aerosols advected under gravity. / Vilela, Rafeal D.; Tél, Tamás; de Moura, Alessandro Paula Servio; Grebogi, Celso.

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

Research output: Contribution to journalArticle

@article{1a7c6bc902f048b2bf3bc7dd36d5c779,
title = "Signatures of fractal clustering of aerosols advected under gravity",
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 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.",
keywords = "particles , cloud, turbulence, dynamics, equation, systems, motion, sphere, fluid, flow",
author = "Vilela, {Rafeal D.} and Tam{\'a}s T{\'e}l and {de Moura}, {Alessandro Paula Servio} and Celso Grebogi",
year = "2007",
month = "6",
day = "27",
doi = "10.1103/PhysRevE.75.065203",
language = "English",
volume = "75",
journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "6",

}

TY - JOUR

T1 - Signatures of fractal clustering of aerosols advected under gravity

AU - Vilela, Rafeal D.

AU - Tél, Tamás

AU - de Moura, Alessandro Paula Servio

AU - Grebogi, Celso

PY - 2007/6/27

Y1 - 2007/6/27

N2 - 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.

AB - 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.

KW - particles

KW - cloud

KW - turbulence

KW - dynamics

KW - equation

KW - systems

KW - motion

KW - sphere

KW - fluid

KW - flow

U2 - 10.1103/PhysRevE.75.065203

DO - 10.1103/PhysRevE.75.065203

M3 - Article

VL - 75

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 065203(R)

ER -