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Related Experiment Videos

Tokamak equilibria with reversed current density.

A A Martynov1, S Yu Medvedev, L Villard

  • 1Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia.

Physical Review Letters
|October 4, 2003
PubMed
Summary
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Tokamak "current holes" challenge plasma physics. This study investigates toroidal equilibria with reversed or zero core current, finding solutions for these non-standard magnetic configurations.

Area of Science:

  • Plasma Physics
  • Fusion Energy Research
  • Magnetohydrodynamics

Background:

  • Tokamak devices are crucial for fusion energy research.
  • Observed "current holes" in tokamaks indicate low or reversed toroidal current in the plasma core.
  • Understanding these phenomena is key to advancing tokamak performance.

Purpose of the Study:

  • To investigate the existence and properties of toroidal equilibria with hollow or reversed toroidal current density profiles.
  • To explore solutions to the Grad-Shafranov equilibrium equation under these non-standard conditions.
  • To develop computational methods for analyzing realistic equilibria without assuming nested magnetic surfaces.

Main Methods:

  • Solving the Grad-Shafranov equilibrium equation for hollow toroidal current density profiles.

Related Experiment Videos

  • Analyzing eigenvalue problems to find simple equilibrium examples.
  • Developing a new equilibrium problem formulation and computational algorithm for current density reversal.
  • Computing realistic equilibria without the assumption of nested magnetic surfaces.

    • Main Results:

    • Identified simple equilibrium configurations with hollow toroidal current density, including negative central current.
    • Demonstrated the feasibility of toroidal equilibria with very low or reversed core current.
    • Computed more realistic equilibria exhibiting toroidal current density reversal using a novel approach.

    Conclusions:

    • Toroidal equilibria with hollow or reversed core current are mathematically possible and computationally achievable.
    • The findings provide theoretical support for understanding and potentially controlling "current hole" phenomena in tokamaks.
    • The developed computational methods offer new tools for analyzing complex plasma equilibria in fusion devices.