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Rigid electron rotation of a fully penetrated Rotamak-FRC produces a pressureflux function that is more peaked than the Solov'ev flux function. This paperexplores the implications of this peaked pressure flux function, including theisothermal case, which appear when the temperature profile is broader than thedensity profile, creating both benefits and challenges to a Rotamak-FRC basedfusion reactor. In this regime, the density distribution becomes very peaked,enhancing the fusion power. The separatrix has a tendency to become oblate,which can be mitigated by flux conserving current loops. Plasma extends outsidethe separatrix, notably in the open field line region. This model does notapply to very kinetic FRCs or FRCs in which there are significant ion flows,but it may have some applicability to their outer layers.

The effect of rigid electron rotation on the Grad-Shafranov equilibria of a class of FRC devices