Probabilistic resistive switching device modeling based on Markov jump processes

In this work, a versatile mathematical framework for multi-state probabilistic modeling of Resistive Switching (RS) devices is proposed for the first time. The mathematical formulation of memristor and Markov jump processes are combined and, by using the notion of master equations for finite-states,...

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Bibliographic Details
Authors: Ntinas, Vasileios|||0000-0002-2367-5567, Rubio Sola, Jose Antonio|||0000-0003-1625-1472, Sirakoulis, Georgios
Format: article
Publication Date:2020
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/343204
Online Access:https://hdl.handle.net/2117/343204
https://dx.doi.org/10.1109/ACCESS.2020.3042012
Access Level:Open access
Keyword:Switching circuits
Markov processes
ReRAM devices
Probabilistic modeling
Cycle-to-cycle variability
Circuits de commutació
Markov, Processos de
Àrees temàtiques de la UPC::Enginyeria electrònica::Microelectrònica
Description
Summary:In this work, a versatile mathematical framework for multi-state probabilistic modeling of Resistive Switching (RS) devices is proposed for the first time. The mathematical formulation of memristor and Markov jump processes are combined and, by using the notion of master equations for finite-states, the inherent probabilistic time-evolution of RS devices is sufficiently modeled. In particular, the methodology is generic enough and can be applied for N states; as a proof of concept, the proposed framework is further stressed for both a two-state RS paradigm, namely N=2, and a multi-state device, namely N=4. The presented I-V results demonstrate in a qualitative and quantitative manner, adequate matching with other modeling approaches.