Towards reaction–diffusion computing devices based on minority-carrier transport in semiconductors

TL;DR: This work proposes a semiconductor RD computing device where minority carriers diffuse as chemical species and reaction elements are represented by p–n–p–n diodes, and demonstrates what computational problems can be solved and evaluates space–time complexity of computation in the devices.

Abstract: Reaction–diffusion (RD) chemical systems are known to realize sensible computation when both data and results of the computation are encoded in concentration profiles of chemical species; the computation is implemented via spreading and interaction of either diffusive or phase waves. Thin-layer chemical systems are thought of therefore as massively-parallel locally-connected computing devices, where micro-volume of the medium is analogous to an elementary processor. Practical applications of the RD chemical systems are reduced however due to very low speed of traveling waves which makes real-time computation senseless. To overcome the speed-limitations while preserving unique features of RD computers we propose a semiconductor RD computing device where minority carriers diffuse as chemical species and reaction elements are represented by p–n–p–n diodes. We offer blue-prints of the RD semiconductor devices, and study in computer simulation propagation phenomena of the density wave of minority carriers. We then demonstrate what computational problems can be solved in RD semiconductor devices and evaluate space–time complexity of computation in the devices.