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arXiv · 1404.1971

The two-scale approach to hydrodynamic limits for non-reversible dynamics

Manh Hong Duong·Max Fathi
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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.

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Manh Hong Duong, Max Fathi. 2015-02-19. The two-scale approach to hydrodynamic limits for non-reversible dynamics. https://arxiv.org/abs/1404.1971

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