Phases of memristive circuits via an interacting disorder approach
Statistical Mechanics
2020-09-07 v2 Disordered Systems and Neural Networks
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.
Keywords
Cite
@article{arxiv.2009.00114,
title = {Phases of memristive circuits via an interacting disorder approach},
author = {Francesco Caravelli and Forrest C. Sheldon},
journal= {arXiv preprint arXiv:2009.00114},
year = {2020}
}
Comments
11 pages + appendix