The gradient flow approach to hydrodynamic limits for the simple exclusion process
Probability
2015-11-11 v2
Abstract
We give a new approach to the well-known convergence to the hydrodynamic limit for the symmetric simple exclusion process (SSEP). More precisely, we characterize any possible limit of its empirical density measures as solutions to the heat equation by passing to the limit in the gradient flow structure of the particle system.
Cite
@article{arxiv.1507.06489,
title = {The gradient flow approach to hydrodynamic limits for the simple exclusion process},
author = {Max Fathi and Marielle Simon},
journal= {arXiv preprint arXiv:1507.06489},
year = {2015}
}