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Related Experiment Videos

Coherent structures in random shell models for passive scalar advection.

L Biferale1, I Daumont, T Dombre

  • 1Department of Physics and INFM, Università di Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

This study explores anomalous scaling in passive scalar advection using singular coherent structures. It reveals how these singular events capture asymptotic scaling properties of the scalar field.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Passive scalar advection describes how a scalar quantity, like temperature or concentration, is transported by a fluid flow.
  • Anomalous scaling refers to deviations from expected power-law behavior in physical systems, often arising from complex interactions.
  • Singular coherent structures are localized, highly irregular features in a system that can significantly influence its overall behavior.

Purpose of the Study:

  • To investigate anomalous scaling in passive scalar advection models.
  • To utilize singular coherent structures for understanding these scaling properties.
  • To apply a shell model reformulation of the Kraichnan model to analyze these phenomena.

Main Methods:

  • Employing a shell model reformulation of the Kraichnan model for stochastic dynamical systems.

Related Experiment Videos

  • Extending the Daumont, Dombre, and Gilson method for calculating self-similar instantons.
  • Analyzing instantons as the most singular events to capture asymptotic scaling.

    • Main Results:

    • Demonstrated the effectiveness of self-similar instantons in capturing asymptotic scaling properties.
    • Identified singular coherent structures as key to understanding anomalous scaling.
    • Presented preliminary findings on the statistical weight of fluctuations around optimal configurations.

    Conclusions:

    • Singular coherent structures, specifically self-similar instantons, are crucial for understanding anomalous scaling in passive scalar advection.
    • The employed shell model and extended method provide a robust framework for analyzing these complex phenomena.
    • Further investigation into fluctuations around optimal configurations is warranted.