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Passive particle transport in three-vortex flow

Kuznetsov1, Zaslavsky

  • 1Department of Physics, New York University, 2-4 Washington Place, New York, New York 10003, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Tracer particle transport in a three-vortex flow exhibits chaotic motion and anomalous statistics. Particle trajectories show intermittent flights and long correlations due to trapping in regular fluid islands, impacting overall mixing dynamics.

Area of Science:

  • Fluid Dynamics
  • Chaos Theory
  • Statistical Mechanics

Background:

  • Studies tracer particle transport in 2D incompressible inviscid flow.
  • Flow is generated by three equal-strength point vortices.
  • Vortex motion induces time-dependent flow and chaotic tracer trajectories.

Purpose of the Study:

  • Investigate tracer particle transport and mixing in a three-vortex system.
  • Characterize the statistical properties of chaotic tracer motion.
  • Analyze the role of regular fluid islands and trapping phenomena.

Main Methods:

  • Numerical simulation of tracer particle trajectories.
  • Analysis of statistical properties (variance, probability distribution, moments).
  • Examination of Poincare recurrences and trapping times.

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Main Results:

  • A large 'chaotic sea' with embedded regular 'islands' is formed.
  • Tracer trajectories exhibit intermittency and anomalous statistics (e.g., faster-than-linear variance growth).
  • Long correlations arise from tracer trapping in island boundary layers, leading to power-law distributions.

Conclusions:

  • The system displays complex mixing dynamics driven by chaotic advection.
  • Anomalous statistical features and long correlations are attributed to trapping mechanisms.
  • Absence of characteristic relaxation times due to cumulative trapping effects.