Static large deviations for a reaction-diffusion model
Probability
2018-05-01 v3
Abstract
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.
Cite
@article{arxiv.1606.07227,
title = {Static large deviations for a reaction-diffusion model},
author = {Jonathan Farfan and Claudio Landim and Kenkichi Tsunoda},
journal= {arXiv preprint arXiv:1606.07227},
year = {2018}
}
Comments
44 pages