Transverse Diffusion and Conductivity Coefficients for a Three-Dimensional Magnetized Equilibrium Plasma

Abstract

Equilibrium transport coefficients are calculated for a three-dimensional magnetized plasma. It is shown that the transverse spatial diffusion and conductivity coefficients are related via a generalized Einstein relation. These coefficients have both a $\frac{1}{B}$ (volume dependent) term (with $B$ a uniform magnetic field) as well as a $\frac{1}{B^2}$ (volume independent) term for a finite plasma. For an infinite plasma, the coefficients have a "classical" $\frac{1}{B^2}$ dependence.