Hall coefficient for non-Markoffian carrier motions

Abstract

We first calculate the Ohmic and Hall conductivities at infinite carrier dilution for the case where the charge carrier motion is described by a Gaussian, but not necessarily Markoffian, solvent averaged propagator. We then consider the same calculation when the propagator is given by a hydrodynamical model which generalizes the classical Brownian motion model, and which we show is not Gaussian. In both cases, the Hall coefficient found is unity, the identical value as in the case of classical Brownian motion.