HYDRODYNAMIC LIMIT FOR THE KOB-ANDERSEN MODEL

• 成果类型: Article
• 署名作者: Shapira, Assaf
• 署名单位: Universite Paris Cite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/22-AAP1898
• 发表日期: 2023
• 页码: 3493-3519
• 关键词: lattice; diffusion

摘要

This paper concerns with the hydrodynamic limit of the Kob-Andersen model, an interacting particle system that has been introduced by physicists in order to explain glassy behavior, and widely studied since. We will see that the density profile evolves in the hydrodynamic limit according to a nondegenerate hydrodynamic equation, and understand how the diffusion coefficient decays as density grows.