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Related Experiment Videos

Adiabatic evolution of plasma equilibrium.

H Grad1, P N Hu, D C Stevens

  • 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
|October 1, 1975
PubMed
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A novel plasma equilibrium theory uses adiabatic constraints, differing from standard methods. This approach addresses complex configurations and applies to various magnetic confinement fusion devices.

Area of Science:

  • Plasma Physics
  • Magnetohydrodynamics
  • Fusion Energy

Background:

  • Standard plasma equilibrium theory typically involves elliptic partial differential equations derived from pressure and current profiles.
  • Complex plasma configurations, particularly those with magnetic islands, present challenges for existing equilibrium models.

Purpose of the Study:

  • Introduce a new theory of plasma equilibrium based on specified adiabatic constraints.
  • Generalize the concept of adiabaticity to handle topologically complex plasma configurations with magnetic islands.
  • Apply the new theory to analyze equilibria in various magnetic confinement devices.

Main Methods:

  • Developing a nonstandard mathematical structure for plasma equilibrium by incorporating adiabatic constraints.
  • Generalizing adiabaticity to include irreversible mixing of plasma and magnetic flux within islands.

Related Experiment Videos

  • Deriving matching conditions at the separatrix using conservation laws.

    • Main Results:

    • The new theory provides a framework for plasma equilibrium with specified adiabatic constraints, differing from conventional methods.
    • It accommodates topologically complex configurations by generalizing adiabaticity to account for irreversible mixing.
    • The theory yields matching conditions at the separatrix through conservation laws.

    Conclusions:

    • The proposed theory offers a new perspective on plasma equilibrium, particularly for complex magnetic topologies.
    • It has direct applications to understanding equilibria in devices like Tokamaks and Doublet.
    • The framework is applicable to diverse geometries, including 2D, axially symmetric, helically symmetric, and closed-line equilibria.