Abstract
We derive a rate of convergence to the hydrodynamic limit of the Kawasaki dynamics for a one-dimensional lattice spin system as considered by Guo, Papanicolaou and Varadhan. We follow the two-scale approach of Grunewald, Villani, Westdickenberg, and the middle author. However, we use a different coarse-graining operator that allows us to leverage the gradient flow structure. As a consequence, we obtain a better convergence rate.
Funding Statement
This research has been partially supported by NSF grant DMS-1407558. Georg Menz and Tianqi Wu want to thank the Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany, for financial support.
Citation
Deniz Dizdar. Georg Menz. Felix Otto. Tianqi Wu. "A quantitative hydrodynamic limit of the Kawasaki dynamics." Electron. J. Probab. 29 1 - 57, 2024. https://doi.org/10.1214/24-EJP1248
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