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A model for self‐assembling circuits with voltage‐controlled growth
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-06-01 , DOI: 10.1002/cta.2806 Russell Deaton 1 , Max Garzon 2 , Rojoba Yasmin 1 , Tyler Moore 2
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-06-01 , DOI: 10.1002/cta.2806 Russell Deaton 1 , Max Garzon 2 , Rojoba Yasmin 1 , Tyler Moore 2
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The circuit tile assembly model (cTAM) consists of a voltage source and resistive circuit tiles, configured as a voltage divider, that attach to form resistive ladders or grids if the voltage on the boundary is greater than or equal to a threshold. The model produces a family of circuits whose composition and properties change with time. As growth proceeds, the voltage decreases until it no longer exceeds a threshold, which causes growth to cease. This is referred to as self‐controlled growth, because the properties of the assembly itself are the primary determinant in controlling the extent of the assembly. The model augments tile assembly models, which are programmable through specific chemical interactions, with an alternative electrical mechanism. The ladder and grid assemblies have bounded size and unique shape that are determined by parameters from the electrical network. Using the harmonicity of the electric potential, the shape of the grid assembly is shown to be symmetric around the main diagonal. Finally, two models of growth, differentiated by whether the voltage is measured before or after attachment, are equivalent. The model and analysis have potential application to self‐assembly of nanostructures, as well as to networks whose structure changes over time.
中文翻译：
电压控制增长的自组装电路模型
电路板组件模型（cTAM）由电压源和配置为分压器的电阻电路板组成，如果边界上的电压大于或等于阈值，则它们会附着形成电阻梯形或网格。该模型会生成一系列电路，其组成和属性会随时间变化。随着生长的进行，电压降低，直到不再超过阈值为止，这导致生长停止。这被称为自我控制的增长，因为组件本身的属性是控制组件范围的主要决定因素。该模型增强了瓷砖装配模型，可通过特定的化学相互作用与备用电子机构进行编程。梯子和栅格组件的边界大小和独特形状由电网参数确定。利用电位的谐波，网格组件的形状显示为围绕主对角线对称。最后，两个增长模型是等效的，分别通过在附着之前或之后测量电压来区分。该模型和分析对于纳米结构的自组装以及结构随时间变化的网络具有潜在的应用前景。
更新日期：2020-06-01
中文翻译：
电压控制增长的自组装电路模型
电路板组件模型（cTAM）由电压源和配置为分压器的电阻电路板组成，如果边界上的电压大于或等于阈值，则它们会附着形成电阻梯形或网格。该模型会生成一系列电路，其组成和属性会随时间变化。随着生长的进行，电压降低，直到不再超过阈值为止，这导致生长停止。这被称为自我控制的增长，因为组件本身的属性是控制组件范围的主要决定因素。该模型增强了瓷砖装配模型，可通过特定的化学相互作用与备用电子机构进行编程。梯子和栅格组件的边界大小和独特形状由电网参数确定。利用电位的谐波，网格组件的形状显示为围绕主对角线对称。最后，两个增长模型是等效的，分别通过在附着之前或之后测量电压来区分。该模型和分析对于纳米结构的自组装以及结构随时间变化的网络具有潜在的应用前景。
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