Memristive Networks: from Graph Theory to Statistical Physics
Disordered Systems and Neural Networks
2022-09-13 v1 Statistical Mechanics
Adaptation and Self-Organizing Systems
Abstract
We provide an introduction to a very specific toy model of memristive networks, for which an exact differential equation for the internal memory which contains the Kirchhoff laws is known. In particular, we highlight how the circuit topology enters the dynamics via an analysis of directed graph. We try to highlight in particular the connection between the asymptotic states of memristors and the Ising model, and the relation to the dynamics and statics of disordered systems.
Keywords
Cite
@article{arxiv.1908.08105,
title = {Memristive Networks: from Graph Theory to Statistical Physics},
author = {Ana Zegarac and Francesco Caravelli},
journal= {arXiv preprint arXiv:1908.08105},
year = {2022}
}
Comments
7 pages double columns; invited EPL Perspectives paper