Poisson and Gaussian models for noisy devices

This paper builds on previous results by incorporating both the shot-noise model and the standard Nyquist-Johnson model for linear resistors in one general multiport configuration. The differential equations for circuits driven by Nyquist-Johnson models can be solved via the Fokker-Planck equation; for circuits driven by Poisson, or shot-noise, models, the Master equation is used. A circuit driven by both types of noise requires a hybrid differential equation called the “differential Chapman-Kolmogorov equation.” Under the same constraint on the two Poisson process rates found in our previous work, the shot-noise model continues to satisfy thermodynamic requirements when connected to fairly general networks also containing standard Nyquist-Johnson noise models. A specific example is developed, consisting of the parallel combination of a shot-noise device, a linear resistor, an inductor, and a capacitor