Time-dependent classical diffusion in axisymmetric toridal plasmas with finite aspect ratio and finite beta is examined. The velocity component normal to the flux surfaces can be solved from a partial differentio-integral equation in terms of instantaneous equilibrium quantities. A method for determining the other two velocity components is given which involves the use of convective and viscous terms in the momentum equation. Equations describing the evolution of magnetic field, plasma pressure, and density are presented.
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Young-ping Pao (1976) studied this question.
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