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Related Experiment Videos

Magnetofluid-dynamic spectrum and low shear stability.

H Grad1

  • 1Courant Institute of Mathematical Sciences, New York University, New York, N.Y. 10012.

Proceedings of the National Academy of Sciences of the United States of America
|December 1, 1973
PubMed
Summary

Plasma spectral analysis reveals irreversible heating and damping in non-dissipative models. New unstable modes connect different plasma instabilities, suggesting an effective marginal stability threshold for better understanding plasma phenomena.

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Area of Science:

  • Plasma physics
  • Magnetohydrodynamics (MHD)
  • Plasma stability

Background:

  • Screw-pinch configurations are fundamental in plasma physics.
  • Understanding plasma behavior in non-dissipative models is crucial.
  • Existing models struggle to explain certain plasma phenomena like irreversible heating.

Purpose of the Study:

  • To analyze the spectral properties of cylindrical plasma equilibria.
  • To investigate the implications of spectral continua on plasma behavior.
  • To connect different types of plasma instabilities and introduce a unified stability concept.

Main Methods:

  • Spectral analysis of cylindrical plasma equilibria.
  • Investigating continuum properties and their behavior at the origin.

Related Experiment Videos

  • Analyzing a new class of low shear, semilocal unstable modes.

    • Main Results:

    • Identified four distinct continua in the screw-pinch spectrum, with three extending to the origin.
    • Demonstrated that spectral continua imply irreversible damping and heating in non-dissipative plasma models.
    • Showed that local instabilities lead to an infinite number of unstable eigenvalues.
    • Established a link between Suydam modes and interchange modes via new unstable modes, defining an effective marginal stability threshold.

    Conclusions:

    • The spectral analysis provides a unified framework for understanding various plasma phenomena.
    • The concept of effective marginal stability offers new insights into plasma behavior.
    • Non-dissipative plasma models exhibit irreversible effects due to spectral properties.