## Ideal MHD Equilibrium and Stability of Tokamaks with Asymmetric Cross Section |

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Alfven waves angle of rotation aspect ratio asymmetric cross section axisymmetric modes bad curvature ballooning modes behavior chords of minimum conducting wall considered coordinate system criterion Critical beta current density curve cylindrical destabilizing diamagnetic diffuse linear pinch discharge current eigenfunctions eigenmode eigenvalue ellipticity elongation Euler-Lagrange equation fixed boundary modes flux surfaces Fourier components free boundary modes function of rotation gradient growth rate ideal MHD equilibrium increasing inverse aspect ratio kink modes Lagrangian limiting surface magnetic axis magnetic field magnetic flux Magnetohydrodynamic magnetosonic waves marginal stability mean magnetic Nuc Fus obtained parameter perturbation Phys Fl Pl Phys Plasma Physics plasma surface plot poloidal Alfven frequency poloidal beta poloidal magnetic flux pressure radius rational surfaces Reference 132 region rotation angle safety factor separatrix sequence of equilibria shape shift shown in Figure solution term Tokamak toroidal geometry toroidal mode number trial function triangularity vacuum vertical waves zero