The Two-Scale Approach to Hydrodynamic Limits for Non-Reversible Dynamics

M. H. Duong, M. Fathi

2016, v.22, №1, 1-36

ABSTRACT

In \cite{GOVW09}, a new method to study hydrodynamic limits, called the two-scale approach, 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\tire Landau model endowed with Kawasaki dynamics. These results also imply local Gibbs behaviour, following a method of \cite{Fat13}.

Keywords: two-scale approach, hydrodynamic limits, non-reversible dynamics.

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