Abstract
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.
Funding Statement
The author was supported by ERC Starting Grant 680275 MALIG.
Acknowledgments
I would like to thank Clément Erignoux, Alessandra Faggionato, Fabio Martinelli, and Patrícia Gonçalves for very useful discussions.
Citation
Assaf Shapira. "Hydrodynamic limit for the Kob–Andersen model." Ann. Appl. Probab. 33 (5) 3493 - 3519, October 2023. https://doi.org/10.1214/22-AAP1898
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