Coupled quantum-dot devices based on the reaction-diffusion dynamics

在这项工作中，我们提出了一种模拟反应扩散系统动力学的量子点装置。反应扩散系统（RD系统）是化学反应和物质扩散在非平衡状态下共存的化学系统。自然界中有各种各样的RD系统，各种动态的、自组织的自然现象可以用RD动力学的概念来解释。构建反应扩散系统的电子模拟将使我们能够在大规模集成电路芯片上产生人工生物动力学，并开发受生物启发的信息处理系统。我们提出构建一个电子模拟的RD系统，即一个由量子点电路组成的电子RD系统。一个研发系统可以看作是一个相互作用的化学非线性振子的集合，因此我们可以用电振子代替化学振子来构建电研发系统。我们使用量子点电路作为电子振荡器，该电路产生由库仑阻塞现象引起的非线性振荡。扩散在RD系统中的作用可以通过振子之间的电容耦合来模拟。通过将耦合振荡器排列成一个网络，我们设计了一个量子点RD系统。我们通过计算机模拟表明，该系统在电路中产生了电耗散结构，或节点电位的动画时空模式，这是与化学RD系统相似的特征。

In this work, we proposed a quantum-dot device that imitated the dynamics of reaction-diffusion systems. A reaction-diffusion system (RD system) is a chemical system where chemical reactions and material diffusion coexist in a nonequilibrium state. There are various RD systems in nature, and a variety of dynamic, self-organizing natural phenomena can be explained using the concept of RD dynamics. Constructing an electrical analog of reaction-diffusion systems will enable us to generate artificial biodynamics on a LSI chip and develop bioinspired information-processing systems.We proposed constructing an electrical analog of RD systems, i.e., an electrical RD system consisting of quantum-dot circuits. 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 quantum-dot circuit that produced 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 designed a quantum-dot RD system. We showed through computer simulation that the system produced electrical dissipative structures, or animated spatiotemporal patterns of node potential in the circuit, which was a characteristic similar to that in chemical RD systems.