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Nonstationary distributions and relaxation times in a stochastic model of memristor

Journal of Statistical Mechanics: Theory and Experiment. 2020. Vol. 2020. P. 024003.
Safonov A. V., Agudov N. V., Krichigin A. V., Kharcheva A. A., Dubkov A. A., Valenti D., Spagnolo B., Carollo A., Guseinov D. V., Belov A. I., Mikhaylov A. N.

We propose a stochastic model for a memristive system by
generalizing known approaches and experimental results. We validate our
theoretical model by experiments carried out on a memristive device based
on Au/Ta/ZrO2(Y)/Ta2O5/TiN/Ti multilayer structure. In the framework
of the proposed model we obtain the exact analytic expressions for stationary
and nonstationary solutions. We analyze the equilibrium and non-equilibrium
steady-state distributions of the internal state variable of the memristive system
and study the influence of fluctuations on the resistive switching, including the
relaxation time to the steady-state. The relaxation time shows a nonmonotonic
dependence, with a minimum, on the intensity of the fluctuations. This paves
the way for using the intensity of fluctuations as a control parameter for
switching dynamics in memristive devices.

Language: English
Full text
DOI
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Keywords: Brownian motion1D diffusion
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