Analytic and SPICE modeling of stochastic ReRAM circuits

Abstract

The modeling of conventional (deterministic) electronic circuits - ones consisting of transistors, resistors, capacitors, inductors, and other traditional electronic components - is a well-established subject. The cycle-to-cycle variability of emerging electronic devices, in particular, certain ReRAM cells, has led to the concept of stochastic circuits. Unfortunately, even in relatively simple cases, the direct transient analysis of stochastic circuits is computationally demanding and potentially impractical, if possible at all. An important development in this area has been the application of a master equation that is easily implemented in SPICE. In this conference paper, we briefly review the master equation approach and present an improved implementation of this approach in SPICE. Moreover, we find an attractor state in a periodically driven memristive circuit - a stochastic counterpart of deterministic memristor attractors.

arXiv commentto be published the Proceedings of SPIE dedicated to ICMNE-2021

References in corpus (5)

• Stochastic Memristive Devices for Computing and Neuromorphic Applications
• Reliable SPICE Simulations of Memristors, Memcapacitors and Meminductors
• Adaptive Multi-rate Wavelet Method for Circuit Simulation
• Probabilistic Memristive Networks: Application of a Master Equation to Networks of Binary ReRAM cells
• Theory of heterogeneous circuits with stochastic memristive devices

Cited by in corpus (1)

• SPICE Modeling of Memcomputing Logic Gates