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arXiv · 2505.19900

Yielding and memory in a driven mean-field model of glasses

Makoto Suda·Edan Lerner·Eran Bouchbinder
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Abstract

Glassy systems reveal a wide variety of generic behaviors, which lack a unified theoretical description. Here, we study a mean-field model, recently shown to reproduce the universal non-phononic vibrational spectra of glasses, under oscillatory driving forces. The driven mean-field model, featuring a disordered Hamiltonian structure, naturally predicts the salient dynamical phenomena in cyclically deformed glasses. Specifically, it features an oscillatory yielding transition, characterized by an absorbing-to-diffusive transition in the system's microscopic trajectories and large-scale hysteresis. The model also reveals dynamic slowing-down from both sides of the transition, as well as mechanical and thermal annealing effects that mirror their glass counterparts. Finally, we demonstrate a non-equilibrium ensemble equivalence between the driven post-yielding dynamics at fixed quenched disorder and quenched disorder averages of the non-driven system, along with memory formation.

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Makoto Suda, Edan Lerner, Eran Bouchbinder. 2025-12-05. Yielding and memory in a driven mean-field model of glasses. https://doi.org/10.1103/vpmn-sw7n

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