Evaluation of solenoidal and statistically enhanced total current densities in multi-particle Monte Carlo device simulators

For noise analysis and transient Monte Carlo simulations the evaluation not only of the conduction current but also of the displacement current is necessary. The simulated total terminal currents should be solenoidal, but this basic property is often lost in the discretization process. Here a consistent discretization of the conduction current densities and Poisson´s equation is presented which yields solenoidal currents. The new method does not require more CPU time than previous methods, but yields terminal currents with a considerably better signal to noise ratio than former methods. Results are shown for stationary and transient simulations and discussed.