Quantum-dot devices based on the reaction-diffusion information processing architecture

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The purpose of this work is to propose a single-electron device that is analogous to the reaction-diffusion system, which is a chemical complex system producing various dynamic phenomena in the natural world. In this work, we proposed a method of constructing electrical RD systems. An RD system can be considered an aggregate of chemical nonlinear oscillators interacting with one another, so we can construct electrical RD systems by using electrical oscillators instead of chemical ones. We used, as the electrical oscillator, a single-electron circuit that produces nonlinear oscillation caused by the Coulomb blockade phenomenon. The action of diffusion in RD systems can be imitated by capacitive coupling between the oscillators. By arranging coupled oscillators into a network, we can construct a single-electron RD system and describes its operation. Computer simulation revealed that the system produces electrical dissipative structures, or animated spatiotemporal patterns of node potential in the circuit, which is a characteristic similar to that in chemical RD systems. We showed through computer simulation that the device produces animated spatiotemporal patterns of node voltages, e.g., a rotating spiral pattern similar to that of a colony of cellular slime molds and a dividing-and-multiplying pattern that reminds us of cell division.