An ideal MHD δw stability analysis that bypasses the Newcomb equation

Alexander S. Glasser, A. H. Glasser, Rory Conlin, Egemen Kolemen

Research output: Contribution to journalArticlepeer-review


In the following work, we demonstrate the efficacy of a Riccati δW ideal MHD stability analysis that bypasses the numerically intractable integration of the Newcomb equation. By transforming the linear Newcomb equation into a quadratic Riccati equation, an accurate and equivalent δW analysis is performed that is shown to enjoy some numerical advantages. We demonstrate that the Riccati approach is better conditioned than its Newcomb counterpart at the magnetic axis, and we apply dynamical systems insights to examine its behavior at singular points. We further discuss the constraints involved in solving for the extremal admissible perturbations of a δW analysis.

Original languageEnglish (US)
Article number022114
JournalPhysics of Plasmas
Issue number2
StatePublished - Feb 1 2020

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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