We introduce an approach based on the Chapman-Kolmogorov equation to model heterogeneous stochastic circuits, namely, the circuits combining binary or multi-state stochastic memristive devices and continuum reactive components (capacitors and/or inductors). Such circuits are described in terms of occupation probabilities of memristive states that are functions of reactive variables. As an illustrative example, the series circuit of a binary memristor and capacitor is considered in detail. Some analytical solutions are found. Our work offers a novel analytical/numerical tool for modeling complex stochastic networks, which may find a broad range of applications.
@article{arxiv.2101.12144,
title = {Theory of heterogeneous circuits with stochastic memristive devices},
author = {V. A. Slipko and Y. V. Pershin},
journal= {arXiv preprint arXiv:2101.12144},
year = {2023}
}