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Main Authors: Aponte, F. V. Pereyra, Jagla, E. A.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.13222
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author Aponte, F. V. Pereyra
Jagla, E. A.
author_facet Aponte, F. V. Pereyra
Jagla, E. A.
contents We propose a model that extends the standard depinning paradigm by incorporating an aging mechanism into the local pinning force. This favors oscillations between a stuck state of large pinning, and a slipping state of smaller pinning. We show that for mean field interactions between sites this mechanism can lead to the appearance of ``king avalanches" and global instabilities, producing a global oscillatory stick-slip stress regime. We construct the phase diagram for this mean field case and identify regions of smooth dynamics, pure stick-slip, and bistability. Crucially, when considering two-dimensional systems with short-range interactions we find that states of global stress oscillation persist, but in contrast to the mean field case, no system-size avalanches appear. Instead, we observe alternating temporal intervals of larger and lower avalanche activity that correlate with the stress oscillations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_13222
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Global Oscillations in Depinning Models with Aging
Aponte, F. V. Pereyra
Jagla, E. A.
Statistical Mechanics
Materials Science
We propose a model that extends the standard depinning paradigm by incorporating an aging mechanism into the local pinning force. This favors oscillations between a stuck state of large pinning, and a slipping state of smaller pinning. We show that for mean field interactions between sites this mechanism can lead to the appearance of ``king avalanches" and global instabilities, producing a global oscillatory stick-slip stress regime. We construct the phase diagram for this mean field case and identify regions of smooth dynamics, pure stick-slip, and bistability. Crucially, when considering two-dimensional systems with short-range interactions we find that states of global stress oscillation persist, but in contrast to the mean field case, no system-size avalanches appear. Instead, we observe alternating temporal intervals of larger and lower avalanche activity that correlate with the stress oscillations.
title Global Oscillations in Depinning Models with Aging
topic Statistical Mechanics
Materials Science
url https://arxiv.org/abs/2604.13222