A combined Kirchhoff-Master equation approach to electronic transport in one-dimensional molecular conductors

We discuss classical one-dimensional conductivity problems using Kirchhoff's law comprising resistor network nodes that can only be occupied by a limited number of charge carriers, leading to the formulation of combined Kirchhoff-Master equations (KMEs) of electronic transport. For illustrative purposes, the equations are solved for simple two site systems; and we present a numerical solution by means of a Monte Carlo method for arbitrary systems. As an example, the procedure is applied to describe DNA charge transfer through a nanojunction at ambient conditions in the regime of small external voltages.