Homogenization results for a linear dynamics in random Glauber type environment
Statistical Mechanics
2015-05-28 v2 Probability
Abstract
We consider an energy conserving linear dynamics that we perturb by a Glauber dynamics with random site dependent intensity. We prove hydrodynamic limits for this non-reversible system in random media. The diffusion coefficient turns out to depend on the random field only by its statistics. The diffusion coefficient defined through the Green-Kubo formula is also studied and its convergence to some homogenized diffusion coefficient is proved.
Cite
@article{arxiv.1105.0495,
title = {Homogenization results for a linear dynamics in random Glauber type environment},
author = {Cedric Bernardin},
journal= {arXiv preprint arXiv:1105.0495},
year = {2015}
}