Efficient simulation of probabilistic memristors and their networks requires novel modeling approaches. One major departure from the conventional memristor modeling is based on a master equation for the occupation probabilities of network states [arXiv:2003.11011 (2020)]. In the present article, we show how to implement such master equations in SPICE - a general-purpose circuit simulation program. In the case studies, we simulate the dynamics of ac-driven probabilistic binary and multi-state memristors, and dc-driven networks of probabilistic binary and multi-state memristors. Our SPICE results are in perfect agreement with known analytical solutions. Examples of LTspice codes are included.

中文翻译：

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在 SPICE 中对概率忆阻器网络进行建模

概率忆阻器及其网络的有效模拟需要新颖的建模方法。与传统忆阻器建模的一个主要区别是基于网络状态占用概率的主方程 [arXiv:2003.11011 (2020)]。在本文中，我们将展示如何在通用电路仿真程序 SPICE 中实现此类主方程。在案例研究中，我们模拟了交流驱动的概率二元和多态忆阻器的动力学，以及概率二元和多态忆阻器的直流驱动网络。我们的 SPICE 结果与已知的分析解决方案完全一致。包括 LTspice 代码的示例。