Analytical Solutions for Geodesic Acoustic Eigenmodes in Tokamak Plasmas

The analytical solutions for geodesic acoustic
eigenmodes in tokamak plasmas with circular concentric magnetic
surfaces are found. In the frame of ideal magnetohydrodynamics the
dispersion relation taking into account the toroidal coupling between
electrostatic perturbations and electromagnetic perturbations with
poloidal mode number |m| = 2 is derived. In the absence of such
a coupling the dispersion relation gives the standard continuous
spectrum of geodesic acoustic modes. The analysis of the existence
of global eigenmodes for plasma equilibria with both off-axis
and on-axis maximum of the local geodesic acoustic frequency is
performed.

• Victor I. Ilgisonis
• Ludmila V. Konovaltseva
• Vladimir P. Lakhin
• Ekaterina A. Sorokina

• Tokamak
• MHD
• geodesic acoustic mode
• eigenmode.

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