arXiv:1908.08105 Abstract | arXiv Analytics

arXiv:1908.08105 [cond-mat.dis-nn]Abstract References Reviews Resources

Memristive Networks: from Graph Theory to Statistical Physics

Published 2019-08-21Version 1

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.

Comments: 7 pages double columns; invited EPL Perspectives paper

Categories: cond-mat.dis-nn, cond-mat.stat-mech, nlin.AO

Keywords: memristive networks, graph theory, statistical physics, exact differential equation, specific toy model

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