Equilibrium fluctuations for totally asymmetric interacting particle systems
Probability
2022-01-07 v1
Abstract
We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the stochastic Burgers equation. As a special case, microscopic system we consider here is related to -totally asymmetric simple exclusion processes (-TASEPs) and our scaling limit corresponds to letting the quantum parameter to be one.
Cite
@article{arxiv.2201.01987,
title = {Equilibrium fluctuations for totally asymmetric interacting particle systems},
author = {Kohei Hayashi},
journal= {arXiv preprint arXiv:2201.01987},
year = {2022}
}
Comments
19 pages