Spectrum of electrostatic modes in a cylindrical non-neutral plasma of arbitrary density

DOI10.1006/jcph.2000.6447zbMath0965.76064OpenAlexW1975598687MaRDI QIDQ1976836

Yanyan Li

Publication date: 23 November 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6447

zbMATH Keywords

finite difference methodcontinuous spectrumstaggered gridunstable modesgeneralized matrix eigenvalue problemdegenerate eigenvaluessurface modescyclotron modescylindrical column of non-neutral plasmadiocotron modesnon-self-adjoint eigenvalue problemsmall amplitude electrostatic modes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Uses Software

• ERATO

Cites Work

• A new finite element approach to the normal mode analysis in magnetohydrodynamics
• Finite hybrid elements to compute the ideal magnetohydrodynamic spectrum of an axisymmetric plasma
• Large-scale complex eigenvalue problems
• A new method for computing normal modes in axisymmetric toroidal geometry using a scalar form of ideal MHD
• Studium der Eigenschwingungen eines zylindrischen Plasmas mit der Methode der finiten Elemente