Moderate deviation principles for a reaction diffusion model in non-equilibrium
Probability
2024-08-22 v1
Abstract
We study moderate deviations from hydrodynamic limits of a reaction diffusion model. The process is defined as the superposition of the symmetric exclusion process with a Glauber dynamics. When the process starts from a product measure with a constant density, which is a non-equilibrium measure for the process, we prove that the re-scaled density fluctuation field satisfies the moderate deviation principle. Our proof relies on the so-called main lemma developed by Jara and Menezes in [arXiv:1810.09526, 2018].
Cite
@article{arxiv.2408.11633,
title = {Moderate deviation principles for a reaction diffusion model in non-equilibrium},
author = {Linjie Zhao},
journal= {arXiv preprint arXiv:2408.11633},
year = {2024}
}