Resistive magnetohydrodynamic equilibria in a torus

It was recently demonstrated that static, resistive, magnetohydrodynamicequilibria, in the presence of spatially-uniform electrical conductivity, donot exist in a torus under a standard set of assumed symmetries and boundaryconditions. The difficulty, which goes away in the ``periodic straight cylinderapproximation,'' is associated with the necessarily non-vanishing character ofthe curl of the Lorentz force, j x B. Here, we ask if there exists a spatialprofile of electrical conductivity that permits the existence of zero-flow,axisymmetric r esistive equilibria in a torus, and answer the question in theaffirmative. However, the physical properties of the conductivity profile areunusual (the conductivity cannot be constant on a magnetic surface, forexample) and whether such equilibria are to be considered physically possibleremains an open question.Comment: 17 pages, 4 figure