Design of New Single-Electron Reaction-Diffusion Circuit with Ability to Generate and Control Plane Waves

We propose a new single-electron (SE) reaction-diffusion (RD) circuit that can express traveling plane waves. While SE circuits have advantages such as nonlinearity and stochastic behavior, a suitable information processing method has not yet been established for them. Thus, we focus on the behavior of a photo-responsive (PR) Belousov-Zhabotinsky (BZ) reaction, one of RD systems, to develop a suitable information processing method. Reportedly, the PR-BZ reaction can generate plane waves, and the waves can be used to represent logic gates. Here, we designed the new SE-RD circuit that can generate the desired plane waves. In simulation results, we found our circuit can operate as desired. We believe this circuit can be used to construct a logic gate device as same as the PR-BZ reaction.