[paper] Well-Posed Models of Memristive Devices

Well-Posed Models of Memristive Devices

Tianshi Wang, Jaijeet Roychowdhury

(Submitted on 15 May 2016)

Existing compact models for memristive devices (including RRAM and CBRAM) all suffer from issues related to mathematical ill-posedness and/or improper implementation. This limits their value for simulation and design and in some cases, results in qualitatively unphysical predictions. We identify the causes of ill-posedness in these models. We then show how memristive devices in general can be modelled using only continuous/smooth primitives in such a way that they always respect physical bounds for filament length and also feature well-defined and correct DC behaviour. We show how to express these models properly in languages like Verilog-A and ModSpec (MATLAB). We apply these methods to correct previously published RRAM and memristor models and make them well posed. The result is a collection of memristor models that may be dubbed "simulation-ready", i.e., that feature the right physical characteristics and are suitable for robust and consistent simulation in DC, AC, transient, etc., analyses. We provide implementations of these models in both ModSpec/MATLAB and Verilog-A.

Subjects: Emerging Technologies (cs.ET); Computational Engineering, Finance, and Science (cs.CE)
Cite as: arXiv:1605.04897 [cs.ET]
(or arXiv:1605.04897v1 [cs.ET] for this version)