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Ampere-Maxwell's Law: Problem-Solving01:17

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Updated: Jan 14, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
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在模拟储计算中,硬件-算法共同设计,以解决方案处理的2D材料的非线性计算.

Songwei Liu1, Yingyi Wen1, Jingfang Pei1

  • 1Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong SAR, China.

Chaos (Woodbury, N.Y.)
|October 17, 2025
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本研究介绍了使用2D材料进行模拟储计算的硬件算法联合设计. 这种方法使得高效的混乱系统分析和强大的通用化,像IoT这样的应用程序.

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科学领域:

  • 材料科学 材料科学 材料科学
  • 计算机科学 计算机科学
  • 物理 物理学 物理

背景情况:

  • 储水库计算 (RC) 是一种反复的神经网络方法,有效用于混乱动态分析.
  • 由于代的非线性映射,RC的数字实现面临着计算方面的挑战.
  • 使用物理非线性材料的模拟系统为储激活提供了一个有希望的替代方案.

研究的目的:

  • 研究用于使用解决方案处理的2D材料进行模拟储计算的硬件算法联合设计.
  • 为了证明模拟非线性映射用于混乱系统回归的可行性.
  • 探索2D材料在可扩展模拟计算中的潜力.

主要方法:

  • 从溶液处理的2D材料中利用非线性来进行模拟储激活.
  • 开发了一个硬件算法联合设计框架,用于优化设备参数化模型.
  • 实现了用于混乱系统回归和同步任务的库存计算模型.

主要成果:

  • 成功安装了2D材料非线性作为模拟激活函数.
  • 在混乱系统回归中实现了长期同步和强大的概括.
  • 在模拟水库计算模型中证明了对噪声的弹性.
  • 展示了基于二维材料的系统的可扩展性和轻量化潜力.

结论:

  • 硬件算法与二维材料的共同设计对于模拟水库计算是有效的.
  • 这种方法克服了数字储库计算对混乱动态的局限性.
  • 开发的方案具有可扩展的,低功耗的模拟计算在IoT,可穿戴设备和机器人的显著潜力.