Analysis of the drift-diffusion-Poisson-Boltzmann system for nanowire and nanopore sensors in the alternating-current regime
Many devices, especially sensors, like field-effect sensors, nanowire sensors, nanopore sensors, nanocapacitors can be used in the alternating-current (AC) regime. Anyway, the analysis of the AC case differs from the direct-current (DC) case and is based on extending transport models to the frequency domain and writing the variables as periodic functions of the frequency in a small-signal approximation. Here, the authors start from a general model for affinity based field-effect sensors, namely the transition drift-diffusion Poisson system coupled with the Poisson-Boltzmann equation. Assuming sufficiently low frequencies and sufficiently small signals, the model equations for the AC regime are derived based on the DC regime. The main results are existence and uniqueness for the AC model equations.
drift-diffusion-Poisson-Boltzmann system
scientific article; zbMATH DE number 6856611