Superpersistent chaotic transients in physical space: Advective dynamics of inertial particles in open chaotic flows under noise

Y Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Superpersistent chaotic transients are characterized by an exponential-like scaling law for their lifetimes where the exponent in the exponential dependence diverges as a parameter approaches a critical value. So far this type of transient chaos has been illustrated exclusively in the phase space of dynamical systems. Here we report the phenomenon of noise-induced superpersistent transients in physical space and explain the associated scaling law based on the solutions to a class of stochastic differential equations. The context of our study is advective dynamics of inertial particles in open chaotic flows. Our finding makes direct experimental observation of superpersistent chaotic transients feasible. It also has implications to problems of current concern such as the transport and trapping of chemically or biologically active particles in large-scale flows.

Original languageEnglish
Article number224101
Number of pages4
JournalPhysical Review Letters
Volume91
Issue number22
DOIs
Publication statusPublished - 28 Nov 2003

Keywords

  • turbulent-boundary-layers
  • intermediate region
  • bifurcation
  • attractors
  • motion
  • wake

Cite this