Phases of memristive circuits via an interacting disorder approach

Francesco Caravelli; Forrest C. Sheldon

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arXiv · 2009.00114

Phases of memristive circuits via an interacting disorder approach

Francesco Caravelli·Forrest C. Sheldon

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Abstract

We study the phase diagram of memristive circuit models in the replica-symmetric case using a novel Lyapunov function for the dynamics of these devices. Effectively, the model we propose is an Ising model with interacting quenched disorder, which we study at the first order in a control parameter. Notwithstanding these limitations, we find a complex phase diagram and a glass-ferromagnetic transition in the parameter space which generalizes earlier mean-field theory results for a simpler model. Our results suggest a non-trivial landscape of asymptotic states for memristive circuits.

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Francesco Caravelli, Forrest C. Sheldon. 2020-09-04. Phases of memristive circuits via an interacting disorder approach. https://arxiv.org/abs/2009.00114

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