RELATIVISTIC CORRECTIONS TO CONDUCTIVITY OF A COLLISIONAL PLASMA IN A MAGNETIC FIELD

The electrical conductivity tensor of a many component, relativistic plasma in a constant magnetic field, and near equilibrium is obtained. The collision term in the kinetic equation is left arbitrary, and the collisional part of the conductivity tensor is expressed as a momentum integral over the collision term directly. As an application, the conductivity due to electron motion is calculated to first order in both the relativistic and thermal corrections with the Beliaev-Budker collision integra. The thermal corrections are the same as in the non-relativistic theory. The leading contributions to the conductivity from the ion motion are also obtained to first order in the electron relativistic corrections. © 1969 The American Physical Society.