ArticleProceedings of the National Academy of Sciences of the United States of America2021
Determining the nonequilibrium criticality of a Gardner transition via a hybrid study of molecular simulations and machine learning.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 4 papers.
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4 citing papers in PubMed, 26 citations in OpenAlex.
- Non-equilibrium critical scaling and universality in a quantum simulator.Nature communications · 2025Article
- Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations.Nature communications · 2024Article
- Robust prediction of force chains in jammed solids using graph neural networks.Nature communications · 2022Article
- Integration of Machine Learning and Coarse-Grained Molecular Simulations for Polymer Materials: Physical Understandings and Molecular Design.Frontiers in chemistry · 2021Article
Corrections and comments
- Erratum issued
Authors and funding
4 authors at 4 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing down, are ubiquitous in nonequilibrium systems such as supercooled liquids, amorphous solids, active matter, and spin glasses. It is often challenging to determine if such observations are related to a true second-order phase transition as in the equilibrium case or simply a crossover and even more so to measure the associated critical exponents. Here we show that the simulation results of a hard-sphere glass in three dimensions are consistent with the recent theoretical prediction of a Gardner transition, a continuous nonequilibrium phase transition. Using a hybrid molecular simulation-machine learning approach, we obtain scaling laws for both finite-size and aging effects and determine the critical exponents that traditional methods fail to estimate. Our study provides an approach that is useful to understand the nature of glass transitions and can be generalized to analyze other nonequilibrium phase transitions.
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