Memristive networks: From graph theory to statistical physics

Zegarac, A.; Caravelli, F.

doi:10.1209/0295-5075/125/10001

Title: Memristive networks: From graph theory to statistical physics

Journal Article · Tue Jan 15 00:00:00 EST 2019 · Europhysics Letters (Online)

DOI:https://doi.org/10.1209/0295-5075/125/10001· OSTI ID:1770099

Zegarac, A. ^[1];

^[2]

ETH Zurich (Switzerland); London Inst. for Mathematical Sciences, London (United Kingdom); Invenia Labs, Cambridge (United Kingdom)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this work, 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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 1770099

Report Number(s):: LA-UR-18-31372; TRN: US2206790

Journal Information:: Europhysics Letters (Online), Vol. 125, Issue 1; ISSN 1286-4854

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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