Stability of field-reversed, force-free, plasma equilibria with mass flow

Details Stability of field-reversed, force-free, plasma equilibria with mass flow Stability of field-reversed, force-free, plasma equilibria with mass flow

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvl..42.1277s&link_type=abstract

Physical Review Letters, vol. 42, May 7, 1979, p. 1277-1281. Research supported by the U.S. Department of Energy.

Physics

37

Force-Free Magnetic Fields, Magnetohydrodynamic Stability, Plasma Equilibrium, Reverse Field Pinch, Toroidal Plasmas, Two Fluid Models, External Surface Currents, Helmholtz Vorticity Equation, Lagrange Multipliers, Mass Flow, Multipolar Fields, Plasma Control

Scientific paper

Woltjer (1958, 1959) has formulated the stability of hydromagnetic equilibria in terms of a variational principle in which the energy is minimized while keeping a number of integrals of the motion of the system constant. The present paper demonstrates the existence of stable cusp-shaped plasma equilibria with finite flow velocity that have force-free fields in the interior but are confined by surface currents. The present treatment differs from that of Woltjer in that it considers the plasma in the two-fluid instead of in the hydromagnetic approximation.

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