Hydrodynamic limit of the Kob-Andersen model
Probability
2022-09-28 v2 Mathematical Physics
math.MP
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 studies since. We will see that the density profile evolves in the hydrodynamic limit according to a non-degenerate hydrodynamic equation, and see how the diffusion coefficient decays as density grows.
Cite
@article{arxiv.2003.08495,
title = {Hydrodynamic limit of the Kob-Andersen model},
author = {Assaf Shapira},
journal= {arXiv preprint arXiv:2003.08495},
year = {2022}
}
Comments
23 pages + 7 pages appendix