Symmetries of the Nonlinear Conductivity for a Relativistic Turbulent Plasma.

The nonlinear conductivity tensor for a relativistic plasma has an important symmetry property which can be related to the nondissipative nature of the nonlinear current. This property is useful in establishing relationships in the theory of plasma turbulence. Following a review of the nonlinear conductivity, its definition is used explicitly to obtain the symmetry property. The latter is then related to the nondissipative property, and is shown to be reducible to the well-known nonrelativistic longitudinal case. Author