A Drift-Diffusion Equation for Charge Transport in Inhomogeneous Materials
- Liemant, Alfred
2010 Mathematics Subject Classification
- 60K35 82B44
- charge carriers transport, hopping processes
From a hopping rate equation for disordered materials we derive a macroscopic drift-diffusion equation. For this purposes two space-time scales are simultaneously considered. The microscopic dynamics is characterized by the distribution of localized states and the hopping rate. On the macroscopic space scale both the hopping rate and the disordered material are allowed to be inhomogeneous.