Self-Diffusion Coefficient in the Kob-Andersen Model
Probability
2020-03-06 v1 Mathematical Physics
math.MP
Abstract
The Kob-Andersen model is a fundamental example of a kinetically constrained lattice gas, that is, an interacting particle system with Kawasaki type dynamics and kinetic constraints. In this model, a particle is allowed to jump when sufficiently many neighboring sites are empty. We study the motion of a single tagged particle and in particular its convergence to a Brownian motion. Previous results showed that the path of this particle indeed converges in diffusive time-scale, and the purpose of this paper is to study the rate of decay of the self-diffusion coefficient for large densities. We find upper and lower bounds matching to leading behavior.
Cite
@article{arxiv.2003.02531,
title = {Self-Diffusion Coefficient in the Kob-Andersen Model},
author = {Anatole Ertul and Assaf Shapira},
journal= {arXiv preprint arXiv:2003.02531},
year = {2020}
}