For the model considered here, the viscosity tensor is transformed from this local coordinate system to the global cylindrical coordinate system.
The dielectric tensor can be written as the sum of two terms.
We now have the fluid force density expressed in terms of the electromagnetic field tensor only.
Similar arguments apply to the full tensor, rather than just its longitudinal part.
The same argument may be applied to all higher-order response tensors.
We use the notation for one of the many tensor products that arise naturally.
A purely antisymmetric response tensor corresponds with a limiting case of an optically active medium, but is not appropriate for a plasma.
For the problem at hand, we use the following boundary-constrained method to construct metric tensors for geomagnetic flux coordinates.
