The two-scale approach to hydrodynamic limits for non-reversible dynamics
Analysis of PDEs
2015-02-20 v2 Functional Analysis
Probability
Abstract
In a recent paper by Grunewald et.al., a new method to study hydrodynamic limits was developed for reversible dynamics. In this work, we generalize this method to a family of non-reversible dynamics. As an application, we obtain quantitative rates of convergence to the hydrodynamic limit for a weakly asymmetric version of the Ginzburg-Landau model endowed with Kawasaki dynamics. These results also imply local Gibbs behavior, following a method introduced in a recent paper by the second author.
Cite
@article{arxiv.1404.1971,
title = {The two-scale approach to hydrodynamic limits for non-reversible dynamics},
author = {Manh Hong Duong and Max Fathi},
journal= {arXiv preprint arXiv:1404.1971},
year = {2015}
}
Comments
26 pages