Theory of two-fluid equilibrium of an axially symmetric plasma

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New formulation for determining the two-fluid equilibrium of an axially symmetric plasma is presented. The inertia force due to plasma motion is taken into account exactly in the form of a modified electrostatic potential (due to the centrifugal force) and a modified magnetic field (due to Coriolis' force). A set of partial differential equations which determine the modified flux functions and the self-consistent electric and magnetic fields are derived under the assumption that the pressure is isotropic and is known as a function of the density and the flux function from an equation of state. In addition, the poloidal drift flux on the modified magnetic surface and the density and temperature in the absence of both the electrostatic potential and the plasma flow are assumed to be known. Our formulation is particularly useful for the case when a local charge separation causes a deviation of the equipotential surface from the magnetic surface, as has been observed in several recent experiments. The result is also formulated in the form of a variation principle which contains no constraints and hence is useful for numerical and perturbational analysis.
核融合科学研究所の論文