Theory of the Residual Resistivity Dipole Diffusion of Non‐Interacting Particles Around a Fixed Point Scatterer

Abstract

AbstractEmploying a superposition representation of the microcanonical density matrix the perturbation of the stationary diffusion process by a fixed point scatterer is treated approximately. The primary dipole distributions of carrier and current density are calculated and interpreted without additional assumptions. The stationarity of the current is shown explicitly. The primary dipole is localized in a region limited by the mean free path. The classical diffusion process which follows removes this localization, the electrostatic screening by the ensemble of all electrons restores it. The ideas of Landauer are confirmed within a coherent theoretical scheme.