Network-theory based modeling of avalanche dynamics in percolative tunnelling networks

Fuente: arXiv
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Autores principales: Dey, Vivek, Kampman, Steffen, Gutierrez, Rafael, Cuniberti, Gianaurelio, Nukala, Pavan
Formato: Preprint
Publicado: 2024
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author Dey, Vivek
Kampman, Steffen
Gutierrez, Rafael
Cuniberti, Gianaurelio
Nukala, Pavan
author_facet Dey, Vivek
Kampman, Steffen
Gutierrez, Rafael
Cuniberti, Gianaurelio
Nukala, Pavan
contents Brain-like self-assembled networks can infer and analyze information out of unorganized noisy signals with minimal power consumption. These networks are characterized by spatiotemporal avalanches and their crackling behavior, and their physical models are expected to predict and understand their computational capabilities. Here, we use a network theory-based approach to provide a physical model for percolative tunnelling networks, found in Ag-hBN system, consisting of nodes (atomic clusters) of Ag intercalated in the hBN van der Waals layers. By modeling a single edge plasticity through constitutive electrochemical filament formation, and annihilation through Joule heating, we identify independent parameters that determine the network connectivity. We construct a phase diagram and show that a small region of the parameter space contains signals which are long-range temporally correlated, and only a subset of them contains crackling avalanche dynamics. Physical systems spontaneously selforganize to this region for possibly maximizing the efficiency of information transfer.
format Preprint
id arxiv_https___arxiv_org_abs_2404_18600
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Network-theory based modeling of avalanche dynamics in percolative tunnelling networks
Dey, Vivek
Kampman, Steffen
Gutierrez, Rafael
Cuniberti, Gianaurelio
Nukala, Pavan
Disordered Systems and Neural Networks
Brain-like self-assembled networks can infer and analyze information out of unorganized noisy signals with minimal power consumption. These networks are characterized by spatiotemporal avalanches and their crackling behavior, and their physical models are expected to predict and understand their computational capabilities. Here, we use a network theory-based approach to provide a physical model for percolative tunnelling networks, found in Ag-hBN system, consisting of nodes (atomic clusters) of Ag intercalated in the hBN van der Waals layers. By modeling a single edge plasticity through constitutive electrochemical filament formation, and annihilation through Joule heating, we identify independent parameters that determine the network connectivity. We construct a phase diagram and show that a small region of the parameter space contains signals which are long-range temporally correlated, and only a subset of them contains crackling avalanche dynamics. Physical systems spontaneously selforganize to this region for possibly maximizing the efficiency of information transfer.
title Network-theory based modeling of avalanche dynamics in percolative tunnelling networks
topic Disordered Systems and Neural Networks
url https://arxiv.org/abs/2404.18600