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Lagrangian chaos and the fast kinematic dynamo problem

  • Edward Ott
Plasma And turbulence
Part of the Lecture Notes in Physics book series (LNP, volume 511)

Abstract

In this paper we review results on the fast kinematic dynamo problem, emphasizing the recent realization that Lagrangian chaos of the underlying flow is the key element for understanding of the problem. We also discuss the generic tendency for fractal magnetic field distributions with extreme cancellation properties. The relation of ergodic properties of the chaotic flow to properties of the dynamo (e.g., growth rate, fractal dimension) are also reviewed.

Keywords

Magnetic Field Fractal Dimension Field Line Topological Entropy Ideal Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Edward Ott
    • 1
    • 2
  1. 1.Institute for Plasma ResearchUniversity of MarylandCollege Park
  2. 2.Department of Physics, Department of Electrical EngineeringInstitute for Systems ResearchUSA

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