Clever algorithms for glasses work by time reparameterization

• 成果类型: Article
• 署名作者: Ghimenti, Federico; Berthier, Ludovic; Kurchan, Jorge; van Wijland, Frederic
• 署名单位: Universite Paris Cite; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Stanford University; Universite de Montpellier; Universite de Montpellier; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute of Physics (INP); Centre National de la Recherche Scientifique (CNRS); Universite PSL; CNRS - Institute of Chemistry (INC); Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI); Universite PSL; Universite Paris Cite; Ecole Normale Superieure (ENS)
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-8424; 1091-6490
• DOI: 10.1073/pnas.2520818123
• 发表日期: 2026-01-27
• 页码: e2520818123
• 关键词: glasses; sampling algorithms; time reparameterization; SUPERCOOLED LIQUIDS; relaxation; DYNAMICS; fluctuations; systems; length

摘要

The ultraslow dynamics of glass-formers has been explained by two views often considered as mutually exclusive: One invokes locally hindered mobility, and the other rests on the complexity of the configuration space. Here, we show that time evolution responds strongly to details of the dynamics by changing the speed of time flow: It has time-reparameterization softness. This finding reconciles both views: While local constraints reparameterize the flow of time, the global landscape determines relationships between different correlations at the same times. We show that modern algorithms developed to accelerate the relaxation to equilibrium act by changing the time reparameterization. Their success thus relies on their ability to exploit reparameterization softness. We conjecture that these results extend beyond the realm of glasses to the optimization of more general constraint satisfaction problems and to broader classes of algorithms.