A geometric approach to predicting plasticity in disordered solids

Fuente: arXiv
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Autori principali: Huang, Long-Zhou, Yang, Xu, Jiang, Min-Qiang, Wang, Yun-Jiang, Baggioli, Matteo
Natura: Preprint
Pubblicazione: 2025
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author Huang, Long-Zhou
Yang, Xu
Jiang, Min-Qiang
Wang, Yun-Jiang
Baggioli, Matteo
author_facet Huang, Long-Zhou
Yang, Xu
Jiang, Min-Qiang
Wang, Yun-Jiang
Baggioli, Matteo
contents It was recently shown that vortex-like topological defects with negative winding number in the vibrational modes of a two-dimensional glass under quasistatic shear correlate strongly with plastic events, offering a promising route to predict them. However, many of these vortices, a number that actually grows quadratically with mode frequency, are entirely unrelated to plasticity and arise simply from the underlying plane-wave structure of the modes. This raises doubts about the fundamental relevance of such defects to plastic rearrangements and limits their predictive power. Here, we introduce a geometrical filter based on the Nye dislocation density that, when applied to the vibrational modes, removes these spurious defects and reveals the true plastic precursors. Using simulations of a two-dimensional model glass, we show that this filtered approach consistently outperforms the conventional vortex-based method, particularly at small strains and when focusing on genuine plastic stress drops, offering a more robust tool to predicting plasticity in glasses from their undeformed initial state.
format Preprint
id arxiv_https___arxiv_org_abs_2512_12668
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A geometric approach to predicting plasticity in disordered solids
Huang, Long-Zhou
Yang, Xu
Jiang, Min-Qiang
Wang, Yun-Jiang
Baggioli, Matteo
Soft Condensed Matter
Disordered Systems and Neural Networks
Statistical Mechanics
It was recently shown that vortex-like topological defects with negative winding number in the vibrational modes of a two-dimensional glass under quasistatic shear correlate strongly with plastic events, offering a promising route to predict them. However, many of these vortices, a number that actually grows quadratically with mode frequency, are entirely unrelated to plasticity and arise simply from the underlying plane-wave structure of the modes. This raises doubts about the fundamental relevance of such defects to plastic rearrangements and limits their predictive power. Here, we introduce a geometrical filter based on the Nye dislocation density that, when applied to the vibrational modes, removes these spurious defects and reveals the true plastic precursors. Using simulations of a two-dimensional model glass, we show that this filtered approach consistently outperforms the conventional vortex-based method, particularly at small strains and when focusing on genuine plastic stress drops, offering a more robust tool to predicting plasticity in glasses from their undeformed initial state.
title A geometric approach to predicting plasticity in disordered solids
topic Soft Condensed Matter
Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2512.12668