Mean Field Theory of Self‐Organizing Memristive Connectomes

Caravelli, Francesco; Milano, Gianluca; Ricciardi, Carlo; Kuncic, Zdenka

doi:10.1002/andp.202300090

Title: Mean Field Theory of Self‐Organizing Memristive Connectomes

Journal Article · 06 June 2023 · Annalen der Physik (Leipzig)

DOI: https://doi.org/10.1002/andp.202300090 · OSTI ID:1984127

^[1]; Milano, Gianluca ^[2]; Ricciardi, Carlo ^[3]; Kuncic, Zdenka ^[4]

Theoretical Division (T‐4) Los Alamos National Laboratory Los Alamos NM 87545 USA
Advanced Materials Metrology and Life Sciences Division INRiM (Istituto Nazionale di Ricerca Metrologica) Strada delle Cacce 91 Torino 10135 Italy
Department of Applied Science and Technology Politecnico di Torino C.so Duca degli Abruzzi 24 Torino 10129 Italy
School of Physics University of Sydney Sydney New South Wales 2006 Australia

Abstract Biological neuronal networks are characterized by nonlinear interactions and complex connectivity. Given the growing impetus to build neuromorphic computers, understanding physical devices that exhibit structures and functionalities similar to biological neural networks is an important step toward this goal. Self‐organizing circuits of nanodevices are at the forefront of the research in neuromorphic computing, as their behavior mimics synaptic plasticity features of biological neuronal circuits. However, an effective theory to describe their behavior is lacking. This study provides for the first time an effective mean field theory for the emergent voltage‐induced polymorphism of circuits of a nanowire connectome, showing that the behavior of these circuits can be explained by a low‐dimensional dynamical equation. The equation can be derived from the microscopic dynamics of a single memristive junction in analytical form. The effective model is tested on experiments of nanowire networks and show that it fits both the potentiation and depression of these synapse‐mimicking circuits. It is shown that this theory applies beyond the case of nanowire networks by formulating a general mean‐field theory of conductance transitions in self‐organizing memristive connectomes.

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Sponsoring Organization:: USDOE

OSTI ID:: 1984127

Journal Information:: Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Journal Issue: 8 Vol. 535; ISSN 0003-3804

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

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